{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "view-in-github"
   },
   "source": [
    "<a href=\"https://colab.research.google.com/github/jermwatt/machine_learning_refined/blob/main/notes/3_First_order_methods/A_3_Normalized.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "ILMzu8jYWuFd"
   },
   "source": [
    "## Appendix A. Advanced First- and Second-Order Optimization Methods"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This notebook contains interactive content from an early draft of the university textbook <a href=\"https://github.com/neonwatty/machine-learning-refined/tree/main\">\n",
    "Machine Learning Refined (2nd edition) </a>.\n",
    "\n",
    "The final draft significantly expands on this content and is available for <a href=\"https://github.com/neonwatty/machine-learning-refined/tree/main/chapter_pdfs\"> download as a PDF here</a>."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "iYpS6G2JWuFe"
   },
   "source": [
    "# Normalized Gradient Descent"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "dckfsUUzWuFf"
   },
   "source": [
    "In the [Section 3.7](https://jermwatt.github.io/machine_learning_refined/notes/3_First_order_methods/3_7_Problems.html) we discussed a fundamental issue associated with the *magnitude* of the negative gradient and the fact that it vanishes near stationary points: gradient descent slowly crawls near stationary points which means - depending on the function being minimized - that it can halt near saddle points.  In this Section we describe a popular enhancement to the standard gradient descent step, called *normalized gradient descent*, that is specifically designed to ameliorate this issue.  The core of this idea lies in a simple inqiury: since the (vanishing) magnitude of the negative gradient is what causes gradient descent to slowly crawl near stationary points / halt at saddle points, what happens if we simply ignore the magnitude at each step by normalizing it out?  In short by normalizing out the gradient magnitude we ameliorate some of the 'slow crawling' problem of standard gradient descent, empowering the method to push through flat regions of a function with much greater ease. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "GPWBYxv1WuFf",
    "outputId": "32a0a068-a398-44b0-d3c6-01f8f425f3de"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Requirement already satisfied: github-clone in /Users/jeremywatt/Desktop/machine-learning-refined/venv/lib/python3.10/site-packages (1.2.0)\n",
      "Requirement already satisfied: requests>=2.20.0 in /Users/jeremywatt/Desktop/machine-learning-refined/venv/lib/python3.10/site-packages (from github-clone) (2.32.3)\n",
      "Requirement already satisfied: docopt>=0.6.2 in /Users/jeremywatt/Desktop/machine-learning-refined/venv/lib/python3.10/site-packages (from github-clone) (0.6.2)\n",
      "Requirement already satisfied: charset-normalizer<4,>=2 in /Users/jeremywatt/Desktop/machine-learning-refined/venv/lib/python3.10/site-packages (from requests>=2.20.0->github-clone) (3.4.0)\n",
      "Requirement already satisfied: idna<4,>=2.5 in /Users/jeremywatt/Desktop/machine-learning-refined/venv/lib/python3.10/site-packages (from requests>=2.20.0->github-clone) (3.10)\n",
      "Requirement already satisfied: urllib3<3,>=1.21.1 in /Users/jeremywatt/Desktop/machine-learning-refined/venv/lib/python3.10/site-packages (from requests>=2.20.0->github-clone) (2.2.3)\n",
      "Requirement already satisfied: certifi>=2017.4.17 in /Users/jeremywatt/Desktop/machine-learning-refined/venv/lib/python3.10/site-packages (from requests>=2.20.0->github-clone) (2024.12.14)\n",
      "\n",
      "\u001b[1m[\u001b[0m\u001b[34;49mnotice\u001b[0m\u001b[1;39;49m]\u001b[0m\u001b[39;49m A new release of pip is available: \u001b[0m\u001b[31;49m24.2\u001b[0m\u001b[39;49m -> \u001b[0m\u001b[32;49m24.3.1\u001b[0m\n",
      "\u001b[1m[\u001b[0m\u001b[34;49mnotice\u001b[0m\u001b[1;39;49m]\u001b[0m\u001b[39;49m To update, run: \u001b[0m\u001b[32;49mpip install --upgrade pip\u001b[0m\n",
      "chapter_3_library already cloned!\n",
      "chapter_3_videos already cloned!\n"
     ]
    }
   ],
   "source": [
    "# install github clone - allows for easy cloning of subdirectories\n",
    "!pip install github-clone\n",
    "from pathlib import Path \n",
    "\n",
    "# clone library subdirectory\n",
    "if not Path('chapter_3_library').is_dir():\n",
    "    !ghclone https://github.com/neonwatty/machine-learning-refined-notes-assets/tree/main/notes/3_First_order_methods/chapter_3_library\n",
    "else:\n",
    "    print('chapter_3_library already cloned!')\n",
    "\n",
    "# clone videos\n",
    "if not Path('chapter_3_videos').is_dir():\n",
    "    !ghclone https://github.com/neonwatty/machine-learning-refined-notes-assets/tree/main/notes/3_First_order_methods/chapter_3_videos\n",
    "else:\n",
    "    print('chapter_3_videos already cloned!')\n",
    "\n",
    "\n",
    "# append path for local library, data, and image import\n",
    "import sys\n",
    "sys.path.append('./chapter_3_library')\n",
    "sys.path.append('./chapter_3_videos') \n",
    "\n",
    "# import section helper\n",
    "import section_3_9_helpers\n",
    "static_plotter = section_3_9_helpers.static_visualizer()\n",
    "demo_1 = section_3_9_helpers.grad_descent_visualizer()\n",
    "demo_2 = section_3_9_helpers.grad_descent_visualizer()\n",
    "\n",
    "# video paths\n",
    "video_path_1 = 'chapter_3_videos/animation_11.mp4'\n",
    "video_path_2 = 'chapter_3_videos/animation_12.mp4'\n",
    "\n",
    "# standard imports\n",
    "import matplotlib.pyplot as plt\n",
    "from IPython.display import Image, HTML\n",
    "from base64 import b64encode\n",
    "\n",
    "def show_video(video_path, width = 1000):\n",
    "    video_file = open(video_path, \"r+b\").read()\n",
    "    video_url = f\"data:video/mp4;base64,{b64encode(video_file).decode()}\"\n",
    "    return HTML(f\"\"\"<video width={width} controls><source src=\"{video_url}\"></video>\"\"\")\n",
    "\n",
    "# import autograd-wrapped numpy\n",
    "import autograd.numpy as np\n",
    "from autograd import value_and_grad \n",
    "\n",
    "# this is needed to compensate for matplotlib notebook's tendancy to blow up images when plotted inline\n",
    "%matplotlib inline\n",
    "from matplotlib import rcParams\n",
    "rcParams['figure.autolayout'] = True\n",
    "\n",
    "%load_ext autoreload\n",
    "%autoreload 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "id": "KmWrf-X_WuFg"
   },
   "outputs": [],
   "source": [
    "# using an automatic differentiator - like the one imported via the statement below - makes coding up gradient descent a breeze\n",
    "# gradient descent function - inputs: g (input function), alpha (steplength parameter), max_its (maximum number of iterations), w (initialization)\n",
    "def gradient_descent(g,alpha_choice,max_its,w,version):\n",
    "    # compute the gradient function of our input function - note this is a function too\n",
    "    # that - when evaluated - returns both the gradient and function evaluations (remember\n",
    "    # as discussed in Chapter 3 we always ge the function evaluation 'for free' when we use\n",
    "    # an Automatic Differntiator to evaluate the gradient)\n",
    "    gradient = value_and_grad(g)\n",
    "\n",
    "    # run the gradient descent loop\n",
    "    weight_history = []      # container for weight history\n",
    "    cost_history = []        # container for corresponding cost function history\n",
    "    alpha = 0\n",
    "    for k in range(1,max_its+1):\n",
    "        # check if diminishing steplength rule used\n",
    "        if alpha_choice == 'diminishing':\n",
    "            alpha = 1/float(k)\n",
    "        else:\n",
    "            alpha = alpha_choice\n",
    "        \n",
    "        # evaluate the gradient, store current weights and cost function value\n",
    "        cost_eval,grad_eval = gradient(w)\n",
    "        weight_history.append(w)\n",
    "        cost_history.append(cost_eval)\n",
    "            \n",
    "        if version == 'full':\n",
    "            grad_norm = np.linalg.norm(grad_eval)\n",
    "            if grad_norm == 0:\n",
    "                grad_norm += 10**-6*np.sign(2*np.random.rand(1) - 1)\n",
    "            grad_eval /= grad_norm\n",
    "        \n",
    "        # normalize components\n",
    "        if version == 'component':\n",
    "            component_norm = np.abs(grad_eval) + 10**(-8)\n",
    "            grad_eval /= component_norm\n",
    "            \n",
    "        if version == 'none':\n",
    "            grad_eval = grad_eval\n",
    "\n",
    "        # take gradient descent step\n",
    "        w = w - alpha*grad_eval\n",
    "            \n",
    "    # collect final weights\n",
    "    weight_history.append(w)\n",
    "    # compute final cost function value via g itself (since we aren't computing \n",
    "    # the gradient at the final step we don't get the final cost function value \n",
    "    # via the Automatic Differentiatoor) \n",
    "    cost_history.append(g(w))  \n",
    "    return weight_history,cost_history"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "k_JpELMAWuFh"
   },
   "source": [
    "## Normalizing gradient descent"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "eLZtxhTqWuFh"
   },
   "source": [
    "In [Section 3.7](https://jermwatt.github.io/machine_learning_refined/notes/3_First_order_methods/3_7_Problems.html) we saw that the length of a standard gradient descent step is *proportional to the magnitude of the gradient* or, \n",
    "in other words, the length of each step is *not* equal to the steplength / learning rate parameter $\\alpha$ is given by\n",
    "\n",
    "\n",
    "\\begin{equation}\n",
    "\\text{length of standard gradient descent step:} \\,\\,\\,\\, \\alpha \\, \\Vert \\nabla g(\\mathbf{w}^{k-1}) \\Vert_2.\n",
    "\\end{equation}\n",
    "\n",
    "As we saw it is precisely this fact that explains why gradient descent *slowly crawls* near stationary points, since near such points the gradient vanishes i.e, $\\nabla g(\\mathbf{w}^{k-1}) \\approx \\mathbf{0}$.\n",
    "\n",
    "Since the magnitude of the gradient is to blame for slow crawling near stationary points, what happens if we simply ignore it by normalizing it out of the update step, and just travel in the direction of negative gradient itself?  As we will see below there are several ways of going about doing this."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "UdFSXL2fWuFh"
   },
   "source": [
    "## Normalizing out the full gradient magnitude"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "lL9AkMI5WuFh"
   },
   "source": [
    "One way to do this is by *normalizing out the full magnitude* of the gradient in our standard gradient descent step, and doing so gives a *normalized gradient descent step* of the form\n",
    "\n",
    "\\begin{equation}\n",
    "\\mathbf{w}^{\\,k} = \\mathbf{w}^{\\,k-1} - \\alpha \\frac{\\nabla g(\\mathbf{w}^{\\,k-1})}{\\left\\Vert \\nabla g(\\mathbf{w}^{\\,k-1}) \\right\\Vert_2 }\n",
    "\\end{equation}\n",
    "\n",
    "Doing this we do indeed ignore the magnitude of the gradient, since we can easily compute the length of such a step (provided the magnitude of the gradient is non-zero)\n",
    "\n",
    "\\begin{equation}\n",
    "\\left\\Vert \\mathbf{w}^{\\,k} - \\mathbf{w}^{\\,k-1} \\right\\Vert_2 = \\left\\Vert \\left(\\mathbf{w}^{\\,k-1} - \\alpha \\frac{\\nabla g(\\mathbf{w}^{\\,k-1})}{\\left\\Vert \\nabla g(\\mathbf{w}^{\\,k-1}) \\right\\Vert_2} \\right)    - \\mathbf{w}^{\\,k-1} \\right\\Vert_2 = \\left\\Vert -\\alpha \\frac{\\nabla g(\\mathbf{w}^{\\,k-1})}{\\left\\Vert \\nabla g(\\mathbf{w}^{\\,k-1}) \\right\\Vert_2 }\\right\\Vert_2  = \\alpha.\n",
    "\\end{equation}\n",
    "\n",
    "In other words, if we normalize out the magnitude of the gradient at each step of gradient descent then the length of each step *is exactly equal to the value of our steplength / learning rate parameter* $\\alpha$\n",
    "\n",
    "\\begin{equation}\n",
    "\\text{length of fully-normalized gradient descent step:} \\,\\,\\,\\, \\alpha.\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "010LYShqWuFi",
    "variables": {
     "\\left\\Vert \\nabla g(\\mathbf{w}^{\\,k-1}) \\right\\Vert_2 ": {}
    }
   },
   "source": [
    "Notice then that if we slightly re-write the fully-normalized step above as \n",
    "\n",
    "\\begin{equation}\n",
    "\\mathbf{w}^{\\,k} = \\mathbf{w}^{\\,k-1} - \\frac{\\alpha}{{\\left\\Vert \\nabla g(\\mathbf{w}^{\\,k-1}) \\right\\Vert_2 }} \\nabla g(\\mathbf{w}^{\\,k-1})\n",
    "\\end{equation}\n",
    "\n",
    "we can interpret our fully normalized step as a standard gradient descent step with a steplength / learning rate value $\\frac{\\alpha}{{\\left\\Vert \\nabla g(\\mathbf{w}^{\\,k-1}) \\right\\Vert_2 }}$ that *adjusts itself at each step based on the magnitude of the gradient to ensure that the length of each step is precisely $\\alpha$*.\n",
    "\n",
    "Also notice that in practice it is often useful to add a small constant $\\epsilon$  (e.g., $10^{-7}$ or smaller) to the gradient magnitude to avoid potential division by zero (where the magnitude completely vanishes) \n",
    "\n",
    "\\begin{equation}\n",
    "\\mathbf{w}^{\\,k} = \\mathbf{w}^{\\,k-1} - \\frac{\\alpha}{{\\left\\Vert \\nabla g(\\mathbf{w}^{\\,k-1}) \\right\\Vert_2 } + \\epsilon} \\nabla g(\\mathbf{w}^{\\,k-1})\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "VGCjrF4wWuFi"
   },
   "source": [
    "Below we re-examine the examples of [Section 3.7](https://jermwatt.github.io/machine_learning_refined/notes/3_First_order_methods/3_7_Problems.html) where the slow-crawling problem of standard gradient descent was first diagnosed, only now we employ this fully-normalized gradient descent step."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "apmnHJFNWuFj"
   },
   "source": [
    "#### <span style=\"color:#a50e3e;\">Example 1. </span>  Ameliorating the slow-crawling behavior of gradient descent near the minimum of a function"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "EgoytXngWuFj"
   },
   "source": [
    "Below we repeat the run of gradient descent first detailed in Example 5 of [Section 3.7](https://jermwatt.github.io/machine_learning_refined/notes/3_First_order_methods/3_7_Problems.html), only here we use a normalized gradient step (both the full and component-wise methods reduce to the same thing here since our function has just a single input).  The function we minimize is \n",
    "\n",
    "\\begin{equation}\n",
    "g(w) = w^4 + 0.1\n",
    "\\end{equation}\n",
    "\n",
    "whose minimum is at the origin $w = 0$.  Here we use the same number of steps and steplength / learning rate value used previously (which led to slow-crawling with the standard scheme).  Here however the normalized step - unaffected by the vanishing gradient magnitude - is able to pass easily through the flat region of this function and find a point very close to the minimum."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 297
    },
    "id": "B-0GgXFEWuFj",
    "outputId": "319304a6-1e56-474a-de04-1cfa1cb0a9f4"
   },
   "outputs": [
    {
     "data": {
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2jlohImN37949ZGRkQCaTwc/Pr86PxyJPx7Vo0QLW1tYoLi7G1atXxQ6HiEgULPIMG4s8IjJ2FfeCtbCwqPPjscjTcVKplMtLE5FRq899g0g3cWoCERm7+u7MZJGnB9jDSUTG7OrVqyguLoaNjQ1atGghdjjUAJR57vr168jPzxc5GiIi7WORZ4RY5BGRMavPfYNINzk5OcHNzQ2CICA6OlrscIiItI5FnhHiMBYiMmacj2ccmOuIyFjl5ubi+vXrAOpvFWkWeXrA398fUqkU9+/fR3JystjhEBFplXIUA7dPMGycf05Exko5gqFJkyZo3LhxvTwmizw9YGVlhdatWwMAIiMjRY6GiEh7Ku4bxCt5hk35/jLPEZGxaYg8xyJPT3Ts2BEAcOHCBZEjISLSnqSkJKSnp9fbvkGku5R57tKlSygtLRU5GiIi7WGRZ8Q6dOgAgEUeERkXZeJr27YtLC0txQ2GGlTLli1ha2uL4uJixMXFiR0OEZHWsMhrYMeOHcPgwYPh7u4OiUSC7du3P/L8rVu3on///nBycoKtrS2Cg4Oxf//+BolN2cMZERHRII9PRKSLlEP3OB+vfuhynpNKpaoOTeY6IjIWpaWlqjl59ZnrWORVUFBQgICAACxdurRG5x87dgz9+/fHnj17EBERgT59+mDw4MENMp9AWdknJiYiPT293h+fiEgXKf/YV3Z0Ud3ocp4DOGqFiIxPbGwsiouLYWtri1atWtXb45rU2yMZgAEDBmDAgAE1Pv/7779X+/mrr77Cjh078OeffyIoKKheY7Ozs4OXlxeuXbuGyMhI9O/fv14fn4hIF7HIq1+6nOcAFnlEZHyUea5Dhw71uhcsr+TVI4VCgby8PDg6OjbI43PIJhEZk7S0NNy5cwcAGqSgIM1pK89FRUVBLpc3yHMQEemShurMZJFXj+bPn4/8/HyMGDGi2nOKi4uRm5urdqsp9nASkTFRJr7WrVvD1tZW5GgIaPg85+3tjSeeeAIPHjzA1atX6yNkIiKdxiJPx/3666+YO3cuNm/eDGdn52rPmzdvHuzs7FQ3Dw+PGj8HJ6QTkTHhUE3doo08J5PJVHPQmeuIyNCVlZXh4sWLAFjk6aRNmzZh4sSJ2Lx5M0JCQh557syZM5GTk6O6KYci1YSyyLtx4waysrLqFDMRka5jkac7tJXnAO4LS0TGIzY2FkVFRbCxsYGXl1e9PjYXXqmj3377Da+++io2bdqEQYMGPfZ8c3NzmJub1+q5HB0d4enpiVu3biEqKgp9+vSp1eMQEekDFnm6QZt5DuDUBCIyHg216ArAK3lq8vPzERUVpdqQ8ObNm4iKikJiYiKA8t7J8ePHq87/9ddfMX78eCxYsABdunRBSkoKUlJSkJOT02AxcvEVIjIG6enpqu9eLrpSf/Qpz0VGRkKhUDTY8xARia0hOzNZ5FVw/vx5BAUFqf6gCAsLQ1BQEGbNmgUASE5OViVCAFi5ciXKysowZcoUuLm5qW5Tp05tsBjZw0lExkCZ+Ly9vWFnZydyNIZDH/Jc27ZtYWFhgby8PFy7dq3BnoeISGwNWeRxuGYFvXv3hiAI1d6/du1atZ+PHj3asAFVgYuvEJExOH/+PAAO1axv+pDnTExMEBAQgDNnziAiIgKtW7fWegxERA2trKxMNaqCV/JIVeTFx8drtCw1EZE+4Xw848bFV4jI0FVcdMXb27veH59Fnp5xdnZG06ZNAUC15CoRkaFhkWfcODWBiAydMs8FBQXV+6IrAIs8vcTFV4jIkFVcdEX5xz4Zl4pX8h41vJSISF81dGcmizw9pPyjRzlnhYjIkCgTn5eXFxddMVK+vr4wMzNDdnY2rl+/LnY4RET1jkUeVdK5c2cAwLlz50SOhIio/nGoJpmZmalWAGWuIyJDU1ZWppp2xSKPVJ588kkA5YuvZGVliRwNEVH9YpFHmZmZaOLRBABw9uxZtfuOnTiGzMxMMcIiIqoXcXFxKCwshLW1dYOtIMwiTw81atQIrVq1AsAhm0RkeFjkGbfMzEz0fKkn/sr5CzBTL/LCd4Rj2DfD0POlniz0iEhvNfSiKwCLPL2lvJr3cA8nEZE+S01Nxe3btyGRSNCpUyexwyEtUxZ4sd/GIn9XPtANOHvxLEpLSxG+Ixzv/PYOMrZmIPbbWBZ6RKS3zpw5A+C/KVgNgUWenlJ+KFjkEZEhUX6n+fj4wNbWVuRoSJsqFngIBGAGYD9Q9mQZxr0xDu/89g7SfkkDTAEEgoUeEektZa7r0qVLgz0Hizw9VbHI4/LSRGQotNG7SbrpcuxlpJqnAn4VDv5b6G0J2vJfgafkC6SapyImLkbLkRIR1V5hYSEuXboEgFfyqApBQUGQyWRISUnBvXv3xA6HiKheaKN3k3TTUz2ewtKJS+E0zgkorXCHGSB/R65e4JUATuOcsGziMvTs3lPboRIR1VpkZCTKysrg4uKCZs2aNdjzsMjTU1ZWVmjXrh0ADtkkIsOgUChU32e8kmecRj43Ej+M+qFyoVfRvwXe/43+P4x4boRW4yMiqquKI1YkEkmDPQ+LPD3GeXlEZEgSEhKQk5MDCwsLVScWGZ+Rz43EyOYjYbrKtMr7TX8yxUjPkSzwiEgvaWvECos8PcYVNonIkCh7Nzt06ABT06r/wCfDF74jHOG3w1H6etWX8konliL8Vjg279is5ciIiOpOW3PPWeTpMeWH4/z581AoFCJHQ0RUN5yPR8ptEiotslKRGZD2Sxre/vVtFnpEpFfS0tJw8+ZNAP9drGkoLPL0mK+vL6ysrJCXl4erV6+KHQ4RUZ1wZU3jduzEMUz5aUrlAq8EwCJUWowlbUMaJv80GcdPHtduoEREtaTszGzTpg3s7e0b9LlY5OkxExMTdOzYEQCHbBKRfisqKsLFixcB8EqesfL39YdLsQtQcUeEEsBupB3wMSAdKFUv9GIAl2IX+Pn4PfxQREQ6SZsjVljk6TkuvkJEhiAqKgqlpaVwcnKCp6en2OGQCBwdHXF803H4fugLREG1iuai4YsgKZJAcUyBRmMalRd6UYDvh744vuk4HB0dxQ2ciKiGlCNWWOTRY7HIIyJDUHHrhIZcUpp0W8VCr9ELjfB/o/8PE0ZPQNu2bYES4DWf19BoWCMWeESkdwRB0Oo2QSYN/gzUoJQfkosXL6KoqAgWFhYiR0REpDlt9m6SblMWejFxMaqNzjt37oy4uDiYC+bYNmMb/Hz8WOARkV65du0asrKyYG5ujvbt2zf48/FKnp5r3rw5XFxcUFpaioiICLHDISKqFW6CThU5OjqqCjwA6Nq1KwDg9OnT6Nm9Jws8ItI7yjwXFBQEMzOzBn8+Fnl6TiKRIDg4GEB58iMi0jcZGRm4du0agIZfUpr0kzLPnTlzBnK5XORoiIg0p+0RKyzyDEC3bt0AAKdOnRI5EiIizSl7N729vXmFhqrk7+8Pa2tr5OXlISYm5vENiIh0jLa3CWKRZwAqXskTBEHkaIiINKPsoFJ+lxE9TCaTqXq/OWqFiPRNYWEhLly4AEB7uY5FngHo2LEjTE1NkZKSglu3bokdDhGRRpRFXvfu3UWOhHQZR60Qkb46f/48ysrK4ObmprVtgljkGQBLS0sEBQUBYPIjIv1SVlamGsKi/COeqCrK3m/mOSLSN8rvrW7dumltmyAWeRUcO3YMgwcPhru7OyQSCbZv3/7YNkePHkWHDh1gbm4OLy8vrF27tsHjrIryjyMOYyEifXLp0iUUFBTAzs4Ovr6+Yodj8PQ5zylX2Lx27RrS0tJEiYGIqDZOnjwJQLudmSzyKigoKEBAQACWLl1ao/Nv3ryJQYMGoU+fPoiKisK0adMwceJE7N+/v4EjrYw9nESkjyrOx5NKmZIamj7nOQcHB/j4+ABghyYR6Q9BEESZlsDN0CsYMGAABgwYUOPzV6xYgRYtWmDBggUAAB8fH5w4cQKLFi1CaGhoQ4VZJWXPwKVLl5Cfnw9ra2utPj8RUW1UHMJCDU+f8xxQ/jmJi4vD6dOnMWTIEK0/PxGRphISEpCRkQFzc3PV9CptYLdpHZw+fRohISFqx0JDQ0XpYWzatCmaNm0KuVyOc+fOaf35iYhqQ4whLFRzupTnAI5aISL9o8xzTz75pFY2QVdikVcHKSkpcHFxUTvm4uKC3NxcFBYWVtmmuLgYubm5arf6wnl5RKRP7t69i8TEREilUq1tDkua0dU8d+7cOZSWltbb4xIRNRSxVpBmkadl8+bNg52dnerm4eFRb4/NHk4i0ifKDqmAgAAOMTcgDZnn2rRpA3t7exQWFuLixYv19rhERA1FrGkJLPLqwNXVFampqWrHUlNTYWtrC0tLyyrbzJw5Ezk5OarbnTt36i2eilfyuCk6Eek6DtXUfbqW56RSqapDk6NWiEjXZWZmIjY2FoD2NkFXYpFXB8HBwTh06JDasQMHDjzyTTQ3N4etra3arb4EBgbCwsICmZmZiI+Pr7fHJSJqCNwEXffpWp5TxgRw1AoR6b5//vkHANC6dWs4OTlp9blZ5FWQn5+PqKgoREVFAShfOjoqKgqJiYkAynsnx48frzr/zTffxI0bN/Dhhx/iypUrWLZsGTZv3oz33ntPjPBhZmaGTp06AWDyIyLd9uDBA0RGRgLglTxt0vc8B/z3eWGeIyJdJ+YK0izyKjh//jyCgoJUy5uGhYUhKCgIs2bNAgAkJyerEiEAtGjRArt378aBAwcQEBCABQsW4KeffhJlWWmlHj16AACOHz8uWgxERI9z7tw5lJWVoUmTJmjWrJnY4RgNQ8hzXbp0gUwmQ2JiIm7fvi1aHEREj6OcliDGiBXuk1dB7969HzmXbe3atVW2UfZG64KePXvi66+/xrFjx8QOhYioWhV7NyUSicjRGA9DyHPW1tbo0KEDzp07h+PHj6N58+Zih0REVElpaSnOnj0LgFfyqB50794dEokE169fR1JSktjhEBFViYuuUF089dRTADhqhYh018WLF/HgwQPY29ujbdu2Wn9+FnkGxs7ODgEBAQCY/IhIN8nlcpw4cQJA+egDIk0pPzcctUJEukr5/dSjRw9IpdovuVjkGSD2cBKRLrt06RJycnJgY2Oj6pQi0oRy/vmVK1dw//59kaMhIqrs77//BvDf3+XaxiLPACk/TOzhJCJdVLF308SEU8NJc40aNYK/vz8AqK4KExHpCoVCobrY0qtXL1Fi0EqRd/nyZZiYmODAgQP18ng7duyAmZkZEhIS6uXxDI2yh/Py5cvIzMwUORoiInXKIk+s3s2GwDynfcohmxy1QkS6JiYmBllZWXjiiSdUqxlrm1aKvLCwMHTv3h39+/evl8d77rnn0K5dO3z00Uf18niGxsXFBW3atIEgCKrFDYiIdIEgCKoiT6zezYbAPKd9HLVCRLpKOVSze/fuMDU1FSWGBi/yTp8+jQMHDiAsLKxeH3fq1KnYtm0bYmJi6vVxDQV7OIlIF8XFxSE9PR2Wlpbo2LGj2OHUC+Y5cSjzXFRUFHJzc0WOhojoP7owYqXBi7xly5ahcePGGDhwYL0+7rBhw2BlZYUVK1bU6+MaCvZwEpEuUvZuBgcHw8zMTORo6gfznDiaNGmCli1bQqFQqPZdJCISmyAIoi+6AtShyDt37hwGDhwIW1tbODg4YOLEicjJyYGVlRXGjRsHACgrK8P27dsREhJS6VLl4sWLIZFIEB8frzqWk5MDW1tbSCQS3Lp1S3X87t27MDU1xaxZs1THrK2t0bNnT2zZsqW2v4JBU36oIiIiUFBQIHI0RETl9GmoJvOc7uNq0kSka+Lj43H//n2Ym5ujc+fOosVRqyJv79696NGjB65du4bZs2fjs88+Q0REBAYMGIDCwkLVBMOIiAjk5+dX+Qs6ODgAAPLy8lTHVqxYgaKiIgBAVlaW6viyZcsgk8nw9ttvqz1GcHAwUlJScOXKldr8GgatefPm8PDwQFlZGf755x+xwyEiUpuPp+uLrjDP6Qful0dEukb5fdS1a1eYm5uLFofGRV5KSgpGjx6NTp06ITIyEu+//z7eeecdHDlyBLGxsQCgSn7Kn1u1alXpcZTJTzmOvqSkBEuWLMGECRMAQLUqZGFhIVauXIlx48bB2dlZ7TGUj8v5ClVjDycR6ZLr168jKSkJZmZm6NKli9jhVIt5Tn8o89zZs2dVxTMRkZiUQzXFHrGicZH37bffIjc3Fz///DOeeOIJ1XF7e3sEBgYCgOrftLQ0AICjo2Olx3m4h3Pjxo3IyMjAxx9/DOC/Hs6NGzciMzOzygntjRo1AgBuhFoNZQ+n8sNGRCQmZe9m586dYWlpKXI01WOe0x+tWrWCq6srSkpKcObMGbHDISIjpyvz8QANizxBEBAeHo4ePXqgbdu2VZ7TvHlzVWKTSCSqdg+r2MMpCALmz5+PsWPHolmzZjA3N1clvyVLlmDAgAHw8fGpMp6Kz0PqevfuDaB85Tf2cBKR2HQl8T0K85x+kUgkqlx39OhRUWMhIrp16xbu3r0LExMTdO3aVdRYNCryUlNTkZSUVOWy14IgIDY2Vm3DPycnJwCockNuZa9nXl4e9uzZg7i4OLz//vsAADs7O2RmZuLw4cOIjo5WHX+Y8nGVz0PqWrduDXd3dxQXF+P06dNih0NERk4fFl1hntM/ffv2BQAcPnxY5EiIyNgp89yTTz6pNhJEDBoVeQ8ePChvJK3cbM+ePUhLS1MNYQEAf39/AEBCQkKl8ysOY5k/fz4GDRqk6sW0tbVFVlYWFi9ejKCgINUX+MOuXbum9jykTiKRMPkRkU5ITEzErVu3IJPJEBwcLHY41WKe0z/K1+706dOq94+ISAy6NGJFoyLPw8MDJiYmlYZEpKam4p133gEAtR7OoKAg2NraVrm6o4WFBSwsLHD48GEcPXoU06dPV91nZ2eHiIgI7Nq1q9reTQD4559/4OLigjZt2mjyaxgVFnlEpAsOHToEoLx308bGRuRoqsc8p39atmyJZs2aobS0FCdPnhQ7HCIyUoIgqHJdnz59RI5GwyLP1NQUr776KiIiIjBw4ED8+OOP+OyzzxAUFAQTExMA6slPJpNh2LBhOHToEIqLiys9noODA/bv34/OnTurVby2trY4ePAg3N3dMWLEiCpjyc/Px/HjxzF8+HBNfgWjoyzyzp49q7aMNxGRNikTX79+/USO5NGY5/QPR60QkS64fv06EhMTYWpqih49eogdjuaray5atAiTJ09WLSt95MgRrFmzBm3atEGTJk3g4eGhdv5bb72F7Oxs7Nq1q9JjKYeyPNyLaWdnBwB49913K20uq/THH3/gwYMHeOONNzT9FYxK8+bN0bJlS5SVlXErBSISRcXeTV0v8gDmOX2kLPKUnzMiIm1Tfv8EBweLPh8PACRCVUuCaSgtLQ1NmzbFq6++iuXLl1e6/5lnnkFBQUG9FhkdOnSAp6cntm7dWm+PKYbc3FzY2dkhJycHtra2DfIcr7/+On766Se8//77mD9/foM8Bxm2y5cvA+C8IKqd2NhY+Pn5wcLCAllZWbCwsGiw52qo71TmudrTRp67e/cuPDw8IJVKkZGRAXt7+wZ5HjJszHVUFyNGjMDvv/+OuXPnYtasWQ32PDX9TtXoSl5paSnKysrUjhUVFeHll1+GIAiYNm1ale0WLFiA06dP46+//tLk6aq1fft2XL58Gd988029PJ6h4zAWIhLTwYMHAQA9evRo0AKvPjDP6aemTZuidevWUCgUqtXtiIi0RaFQqP7O1pURKyaanHzy5ElMnDgRo0aNQrNmzXD37l1s2LABt27dwvLly6udGO7n51cpadbF0KFDUVJSUm+PZ+iUkz+joqKQkZGh2lyXiEgb9GmoJvOc/urbty/i4+Nx+PBhDBkyROxwiMiIXLx4ERkZGbC2tkbnzp3FDgeAhkWetbU1mjVrhuXLlyMnJwf29vbo1q0b1q5di549ezZUjFRHrq6u8PX1RWxsLP7++28MGzZM7JCIyEiUlZWpVqrUhyKPeU5/9e3bFytWrOCoFSLSOmVn5lNPPVXtPGtt06jI69SpE7889VTfvn0RGxuLw4cPs8gjIq2JiIhAbm4u7O3t0aFDB7HDeSzmOf3Vu3dvAEB0dDTu378PZ2dncQMiIqOhiyNWNF5dk/ST8kPHP16ISJuUia93796QyWQiR0OGzMnJCQEBAQBQaZ9DIqKGUlJSopoLzCKPtK5Xr16QSCSIi4tDUlKS2OEQkZHQxd5NMlzcSoGItO3MmTN48OABGjdujHbt2okdjgqLPCPh4OCgGiqlXOmOiKghFRYW4uTJkwBY5JF2KIu8AwcOoB52iCIieixlp1Lfvn0hlepOaaU7keiIpUuXwtPTExYWFujSpQvOnj37yPO///57tGnTBpaWlvDw8MB7772HoqIiLUWrmdDQUADA/v37RY6EiIzBqVOnUFxcDDc3N7Rt21bscKgCQ811vXv3hqmpKW7evIlr166JHQ4RGQFdHbHCIq+C8PBwhIWFYfbs2bhw4QICAgIQGhqK+/fvV3n+r7/+ihkzZmD27NmIi4vDzz//jPDwcPzvf//TcuQ1oyzy/vrrLygUCpGjISJDpxw10K9fP0gkEpGjISVDznXW1tbo0aMHAHZoElHDy8vLw5kzZwCwyNNpCxcuxOuvv44JEybA19cXK1asgJWVFVavXl3l+adOnUL37t0xevRoeHp64umnn8aoUaMe2yMqluDgYFhbWyM9PR2RkZFih0NEBk75R/bTTz8tciRUkaHnOo5aISJtOXLkCEpLS9GyZUu0bNlS7HDUsMj7V0lJCSIiIhASEqI6JpVKERISgtOnT1fZplu3boiIiFAluhs3bmDPnj0YOHBgtc9TXFyM3NxctZu2mJqaquYr/PXXX1p7XiIyPikpKarOJBZ5ukMbuU7MPAf893k7cuQIN5Qnoga1b98+AMAzzzyjcyNWWOT9Kz09HXK5HC4uLmrHXVxckJKSUmWb0aNH47PPPkOPHj1gamqKVq1aoXfv3o8cwjJv3jzY2dmpbh4eHvX6ezwOeziJSBuUHUkdOnSo9L1K4tFGrhM7zwUEBMDZ2RkFBQU4deqUVp+biIyHIAjYu3cvgPIiT9ewyKuDo0eP4quvvsKyZctw4cIFbN26Fbt378bnn39ebZuZM2ciJydHdbtz544WI/6vyDt58iTy8vK0+txEZDwq9m6SftM014md54qLi9EluAuAyh2aV+KvoLCwUKvxEJFhSkhIwK1bt2Bqaoo+ffqIHU4lJmIHoCsaN24MmUyG1NRUteOpqalwdXWtss2nn36KcePGYeLEiQCAdu3aoaCgAJMmTcLHH39c5TKq5ubmMDc3r/9foIZatWqFVq1a4fr16zhy5AiGDBkiWixEZJjkcrnqSh6LPN2ijVwnZp4rLCzE0PcG4JrTJcCsvMibN28eAODIqUN4N/wVuBe3wvZFe2FpaSlKjERkGJSdmT179oS1tbXI0VTGK3n/MjMzQ8eOHdU2UFUoFDh06BCCg4OrbPPgwYNKyU0mkwGATu/PwyGbRNSQIiIikJGRAVtbW3Tt2lXscKgCQ851ygIvecbfsF+ZBcfhQGRMJFJTU3Hk1CGE7ZoAs+/vInnG3xj63gBe0SOiOtH1ESss8ioICwvDqlWrsG7dOsTFxeGtt95CQUEBJkyYAAAYP348Zs6cqTp/8ODBWL58OTZt2oSbN2/iwIED+PTTTzF48GBVAtRFLPKIqCEpE19ISAhMTU1FjoYeZoi5rmKBZ+YJSCSA5y+A43Bg2v/eQdiuCZB+eQcSCWDmCRZ6RFQnhYWFOHr0KADdLfI4XLOCkSNHIi0tDbNmzUJKSgoCAwOxb98+1QT1xMREtd7MTz75BBKJBJ988gnu3bsHJycnDB48GF9++aVYv0KN9OnTByYmJrh+/TquX7+OVq1aiR0SERkQXe/dNHaGmOsS7yYiyeI6zJr/d0xZ6J3f8Qdsn1Og4sJ3ps2BJIvrSLybiDbebbQfMBHptePHj6OwsBDu7u7w9/cXO5wqSQRdGmthhHJzc2FnZ4ecnBzY2tpq7Xl79+6Nv//+G0uXLsXkyZO19rykny5fvgwAOvtFRrojKysLjRs3hkKhwO3bt9GsWTOtPr9Y36lUPW29J8ohmcordtURBEDxSTMsenYtegfr3mIJJB7mOqqpsLAwLFq0CK+++ip+/vlnrT53Tb9TOVzTSCmHbCqXfiUiqg8HDx6EQqGAr6+v1gs8Mm59uvXDwmfXQPGxB6rrvmaBR0T1QTnlSZdHrLDIM1KDBg0CABw6dIhzEoio3nCoJompT7d+GNVkMgr3VL26Z+Eec4x2f4sFHhHVWmJiImJjYyGVShESEiJ2ONVikWek2rVrh2bNmqGwsBCHDx8WOxwiMgCCILDII1EdOXUIv91bBsuBxVXebzmwGL8mLcfR00e0HBkRGQplnuvatSscHBxEjqZ6LPKMlEQiwbPPPgsA+PPPP0WOhogMwYULF5CUlIQnnngCPXv2FDscMjI1mZMnkQDSLxLx3q5XWOgRUa0o/24eOHCgyJE8Gos8I6Ys8nbt2qVTex0RkX7auXMngPI5vxYWFiJHQ8bkSvwVvBv+SqUCTxCAnK0StTl6ykLvnfDxuJpwVfvBEpHeevDgAQ4ePAgAGDJkiMjRPBqLPCPWp08fWFlZ4d69e4iKihI7HCLSc8rezcGDB4scCRmb5h7N4V7cCqW3/zumXGTFa0MIbo2FWqFXehtwL2qFZk25OBAR1dzBgwdRVFSE5s2b6/wqrCzyjJiFhQX69+8PoPxqHhFRbd29exeRkZGQSCSqhZ2ItMXS0hLbF+2F29e9UHJLfRXNebO+RdYfwO1x5cdLbgFuX/fC9kV7YWlpKXboRKRHlJ2ZQ4YMgeRRe7XoABZ5Rq7ikE0iotpSJr7g4GA4OTmJHA0ZI7VC772mqm0SAgIC0MSpKTK3ALlvNmKBR0S1olAo9GrECos8I6fscT979ixSUlJEjoaI9FXF3k0isSgLvS1TDqq2SVAuNCYUA53y+7PAI6JaOX/+PFJTU2FjY4NevXqJHc5jscgzcm5ubujUqRMAYM+ePSJHQ0T6KD8/H4cOHQLAIo/EZ2lpiTbebdSOKUetnDx+kosCEVGtKBcXGzBgAMzMzESO5vFY5BG3UiCiOjlw4ABKSkrQqlUrtG3bVuxwiCrp27cvLC0tcefOHVy6dEnscIhID+nTUE2ARR7hvw/rgQMHUFRUJHI0RKRvlL2b+jARnYyTpaUlQkJCALBDk4g0d/v2bVy6dAkymUzn98dTYpFHCAoKQtOmTVFQUIADBw6IHQ4R6RG5XI7du3cD0J/eTTJOyqHE27ZtEzkSItI3ys6h7t27w9HRUeRoaoZFHkEikeD5558HAGzdulXkaIhIn5w5cwZpaWmwt7dHjx49xA6HqFrPPfccpFIpLly4gFu3bokdDhHpkYojVvQFizwCALzwwgsAyj/EpaWlIkdDRPpC2TE0cOBAmJqaihwNUfWcnJzw1FNPAeDVPCKquaysLBw5cgQAizzSQz169ICTkxMyMzPx999/ix0OEekBQRDwxx9/AABefPFFkaMherxhw4YBgOpzS0T0ODt37kRZWRnat28Pb29vscOpMRZ5BACQyWR47rnnAHDIJhHVjHLYm5WVFUJDQ8UOh+ixlFMTTp06heTkZJGjISJ9sGXLFgD/jXrTFyzySEX54d22bRsUCoXI0RCRrlMmvkGDBsHKykrkaIger2nTpujSpQsEQcCOHTvEDoeIdFxubi7++usvAPo3YoVFHqn07dsXtra2SElJwT///CN2OESkwwRB0NveTTJuyiGbHLVCRI+za9culJSUoG3btvD19RU7HI2wyCMVMzMz1RLonK9ARI8SHR2Na9euwcLCQm/2DCIC/ivyjhw5gszMTJGjISJdpuzM1LereACLPHqIskd+69atEARB5GiISFcpO4JCQ0NhY2MjcjRENefl5YX27dujrKyMG6MTUbXy8/Oxd+9eAPo5YoVFHqkJDQ2FlZUVbt26haioKLHDISIdpc+9m0QcsklEj7N3714UFRWhVatWCAgIEDscjbHIIzVWVlYYMGAAAOD3338XORoi0kVxcXGIjY2Fqakpnn32WbHDIdKYsld+//79yMnJETkaItJFFeedSyQSkaPRHIs8qmTEiBEAgE2bNnHIJhFVohyq2b9/f9jb24sbDFEt+Pn5wcfHB8XFxdi+fbvY4RCRjiksLMTu3bsB6O+IFRZ5VMmzzz4La2tr3Lx5E2fOnBE7HCLSMZs3bwagn3MUiABAIpFg1KhRAIDffvtN5GiISNfs3bsXBQUFaNasGTp16iR2OLXCIu8hS5cuhaenJywsLNClSxecPXv2kednZ2djypQpcHNzg7m5OVq3bo09e/ZoKdqGYWVlpdoYncmPiCqKjo5GdHQ0zMzMVBtLk/5hroOqyDt48CDS0tJEjoaIdMmvv/4KABg5cqReDtUEWOSpCQ8PR1hYGGbPno0LFy4gICAAoaGhuH//fpXnl5SUoH///rh16xa2bNmCq1evYtWqVWjSpImWI69/yuS3efNmyOVykaMhIl2hTHwDBw6Eg4ODyNFQbTDXlfPy8kKnTp0gl8s5B52IVHJycrBr1y4AwJgxY0SOpvZY5FWwcOFCvP7665gwYQJ8fX2xYsUKWFlZYfXq1VWev3r1amRmZmL79u3o3r07PD090atXL71cgedh/fv3h6OjI1JSUvD333+LHQ4R6QCFQqG6uj969GiRo6HaYq77j7JDc9OmTSJHQkS6YuvWrSguLoavry/at28vdji1xiLvXyUlJYiIiEBISIjqmFQqRUhICE6fPl1lm507dyI4OBhTpkyBi4sL/P398dVXXxnElS8zMzPVRFMO2SQiADh9+jRu374NGxsbrqqpp5jr1CmHYh0/fhx37twROxwi0gHKESujR4/W26GaAIs8lfT0dMjlcri4uKgdd3FxQUpKSpVtbty4gS1btkAul2PPnj349NNPsWDBAnzxxRfVPk9xcTFyc3PVbrpK2cP5xx9/oKSkRORoiEhsGzduBFC+x5ilpaXI0VBtaCPX6VOea9KkCZ566ikA5cNYici4JScn4/DhwwD0f8QKi7w6UCgUcHZ2xsqVK9GxY0eMHDkSH3/8MVasWFFtm3nz5sHOzk518/Dw0GLEmunZsyfc3d2RlZWF/fv3ix0OEYmotLRUtaqmvic+0oymuU6f8hwArrJJRCrh4eFQKBQIDg5GixYtxA6nTljk/atx48aQyWRITU1VO56amgpXV9cq27i5uaF169aQyWSqYz4+PkhJSan2ytfMmTORk5Ojuuny8BCZTKbaM4/Jj8i4/fXXX8jIyICzszP69u0rdjhUS9rIdfqU54DyrUBMTExw4cIFXL16VexwiEhEyhErhtCZySLvX2ZmZujYsSMOHTqkOqZQKHDo0CEEBwdX2aZ79+64du0aFAqF6lh8fDzc3NxgZmZWZRtzc3PY2tqq3XSZ8kO+fft2nR5yQ0QNSzlH4aWXXoKJiYnI0VBtaSPX6Vuea9y4MZ5++mkAwIYNG0SOhojEEh8fj/Pnz6td5NBnLPIqCAsLw6pVq7Bu3TrExcXhrbfeQkFBASZMmAAAGD9+PGbOnKk6/6233kJmZiamTp2K+Ph47N69G1999RWmTJki1q9Q7zp16gQfHx8UFhZyiWkiI1VQUIDt27cDMIzeTWPHXFfZyy+/DABYt26dWjFLRMZDOWqtf//+cHZ2FjmaumN3bAUjR45EWloaZs2ahZSUFAQGBmLfvn2qCeqJiYmQSv+riz08PLB//3689957aN++PZo0aYKpU6fio48+EutXqHcSiQSvvPIKPvroI6xduxavvfaa2CERkZb98ccfePDgAVq1aoXOnTuLHQ7VEXNdZUOGDIG9vT3u3LmDI0eOoF+/fmKHRERapFAosH79egCG05kpEQRBEDsIY5abmws7Ozvk5OTo7JCWpKQkeHh4QKFQICEhAV5eXmKHRFp2+fJlAIC/v7/IkZAYevfujb///htffPEFPv74Y7HDeSR9+E41NvrynkyePBnLly/H2LFj8csvv4gdDomAuc54HT16FH369IGNjQ1SUlJgZWUldkjVqul3Kodr0mO5u7sjNDQUALB27VpxgyEirbp27Rr+/vtvSCQSjB8/XuxwiBrMK6+8AqD8ynVOTo64wRCRVq1evRpA+bxzXS7wNMEij2pEmfzWrVtnEBvgElHNKDt2nn76aZ1fCp+oLp588knOQScyQjk5OdiyZQsA4NVXXxU5mvrDIo9qZMiQIXBwcMDdu3dx5MgRscMhIi2Qy+WqIs+QEh9RVSQSiWrxGY5aITIe4eHhKCwshI+PD7p06SJ2OPWGRR7ViIWFhWrDWCY/IuNw8OBB3Lt3D46OjnjuuefEDoeowY0dOxZSqRQnT55EQkKC2OEQkRasWbMGQHlnpkQiETma+sMij2pMOWRz69atnK9AZASUcxRGjx4Nc3NzkaMhanhubm6qPfPWrVtX6f6bt29WuQE8Eemn2NhY/PPPP5DJZBg7dqzY4dQrFnlUY506dYKvry8KCwtVGyMTkWHKyMhQ7Y3HoZpkLEpKSlDmmorWrwCr1q5AaWmp6r6zUacxeX0/TJz7PAs9IgOhvIo3aNAguLq6ihxN/WKRRzUmkUgwadIkAMDy5cvB3TeIDNevv/6KkpISBAYGIigoSOxwiBpcSUkJJs59Hq5fRqLXaqDRkAx8v3QBgPIC74vDY+HxyU0Ib+9hoUdkAEpLS1V74xliZyaLPNLI+PHjYWlpiejoaJw+fVrscIioAQiCgBUrVgAwzMRH9DBlgSe8vQdW7oBEAvRYCoTf+QyrNizDF4fHwvW9G5BIACs3sNAjMgDbt2/H/fv34eLigoEDB4odTr1jkUcacXBwwEsvvQQAqj8CiciwHDt2DLGxsbCysuLeeGQU7iXfQ5pFHCwrjNaSSIAO8wuxx/09VYGnZOkKpFnE4V7yPe0HS0T1YtmyZQCA119/HaampiJHU/9Y5JHG3nzzTQDA5s2bkZGRIXI0RFTflIlv7NixsLOzEzkaoobXonkLzB28ESmLWqLiTASJBHDuW6JW4AkCkLywJT4bvBEtmrfQfrBEVGexsbE4evQopFKpaiqSoWGRRxp78skn0aFDBxQXF3M7BSIDk5ycjK1btwIA3nrrLZGjIdKezoHB+KTvhkqFXkXKAm9Wvw14MjBYuwESUb1Zvnw5gPJ9oD08PESOpmGwyCONSSQS1dW8H3/8EQqFQuSIiKi+rFq1CmVlZejWrRsCAwPFDodIqzoHBmOw8/tI+7vqLUPS/jbHEJf3WeAR6bG8vDzVFimTJ08WOZqGwyKPamXUqFGwsbFBQkICDh8+LHY4RFQPSktL8eOPPwIApkyZInI0RNp3Nuo0/ry/AE69iqu836lXMXamLsC5KC48RqSvNm7ciLy8PLRu3Rr9+vUTO5wGwyKPasXa2lq1IMPSpUtFjoaI6sOff/6JpKQkODk54YUXXhA7HCKtUm6T8PAiKxVJJIBb2A18dmgsCz0iPSQIgmre+VtvvQWp1HBLIcP9zajBKS9x79ixAzdu3BA5GiKqK2XimzhxIszNqx6uRmSIbt6+idl/jqlU4AkCcO8vaaXFWNzCbmDWn2Nw8/ZN7QdLRLV28uRJREdHw9LSEi+//LLY4TQoFnlUa76+vggNDYUgCFiyZInY4RBRHVy+fBmHDh0y6JXGiKrTxK0JnIp8UJjy3zHlIivt/3kPJ6dArdArTAGcinzQxK2J9oMlolpbvHgxAGD06NFwcHAQOZqGxSKP6iQsLAwA8PPPPyMnJ0fkaIiothYsWAAAGDZsGDw9PcUNhkjLzMzM8NPsbZD830A8SFZfRfOrWfNhes5PVeg9SAYk/zcQP83eBjMzM7FDJ6IaunHjhmr16GnTpokbjBawyKM66d+/P/z8/JCfn4+ffvpJ7HCIqBaSk5OxceNGAMD7778vcjRE4qhY6N35ooXaNgkffzgbV9cAx1+XQlgcygKPSA99//33UCgUCA0Nhb+/v9jhNDgWeVQnEolE1RuyePFilJWViRsQEWnshx9+QGlpKbp164auXbuKHQ6RaJSF3rLxh9S2SXj++efR1KU5rvysQPfmz7HAI9IzmZmZ+PnnnwEYT2cmizyqszFjxsDJyQl37tzBH3/8IXY4RKSBgoICrFixAgDwwQcfiBwNkfjMzMzQonkLtWMmJiZ49913AZR3igjV7ZZORDrpxx9/xIMHD9C+fXuEhISIHY5WsMijOrO0tMRbb70FAFi4cCGTH5EeWbNmDbKystCqVSsMGTJE7HCIdNZrr70Ga2trxMXFYf/+/WKHQ0Q1VFxcjB9++AFA+VU8SXV7pBgYFnlULyZPngwzMzOcPXsWx44dEzscIqoBuVyORYsWAShfREkmk4kcEZHusrOzw8SJEwEA33zzjcjREFFN/fbbb0hOToa7uzteeuklscPRGhZ5VC9cXFwwYcIEAMCXX34pcjREVBPbtm3DjRs34OjoiFdeeUXscIh03nvvvQcTExMcPXoUp06dEjscInoMhUKhWj363XffNar5tCzyqN589NFHkMlkOHDgAM6ePSt2OET0CAqFAp9//jkAYMqUKbCyshI5IiLd16xZM9UGyuzQJNJ9O3bswOXLl2FjY2N0e8CyyKN606JFC4wdOxYAkx+Rrvvzzz9x6dIlWFtbG8V+QUT1ZcaMGZBKpdizZw8uXLggdjhEVA1BEPDZZ58BKL+KZ+ibnz+MRR7Vq5kzZ0IikWDnzp24dOmS2OEQURUqJr533nkHjo6OIkdEpD+8vLwwatQoAOzQJNJlu3btQlRUFJ544gm89957YoejdSzyHrJ06VJ4enrCwsICXbp0qfGww02bNkEikWDo0KENG6COa9OmDUaMGAEA+Oqrr0SOhoiqorwCYWVlZZSJj5jr6up///sfAGDr1q2IiYkRORoieljFzswpU6agUaNGIkekfSzyKggPD0dYWBhmz56NCxcuICAgAKGhobh///4j2926dQsffPABevbsqaVIdZsy+W3evBlXr14VORoiqqhi4ps8eTKcnJxEjoi0jbmu7nx9fTFs2DAAwLx580SOhogetm/fPpw/fx6WlpZGs/n5w1jkVbBw4UK8/vrrmDBhAnx9fbFixQpYWVlh9erV1baRy+UYM2YM5s6di5YtW2oxWt3Vvn17DBkyRO2PSSLSDcqFkSwsLLj5uZFirqsfH3/8MYDy5dnj4uJEjoaIlCr+/fnWW2/B2dlZ5IjEwSLvXyUlJYiIiEBISIjqmFQqRUhICE6fPl1tu88++wzOzs547bXXtBGm3pgzZw6A8uTHuXlEukEQBNX/m2+++SZcXFzEDYi0jrmu/nTo0AHPPfccFAoFPv30U7HDIaJ/HThwAP/884/Rd2ayyPtXeno65HJ5pT96XFxckJKSUmWbEydO4Oeff8aqVatq/DzFxcXIzc1VuxmioKAgjBgxAoIgqHo7iUhcO3fuxOnTp2FpaYnp06eLHQ6JQBu5zljyHAB88cUXkEgk+OOPP3D+/HmxwyEyegqFAjNmzABQ3pnp5uYmckTiYZFXS3l5eRg3bhxWrVqFxo0b17jdvHnzYGdnp7p5eHg0YJTi+vzzzyGTybBr1y6cPHlS7HCIjFpZWRlmzpwJAJg2bRrc3d1Fjoj0QW1ynTHlOX9/f4wbNw7Af/PRiUg84eHhiIyMhI2NjdFfZGCR96/GjRtDJpMhNTVV7XhqaipcXV0rnX/9+nXcunULgwcPhomJCUxMTLB+/Xrs3LkTJiYmuH79epXPM3PmTOTk5Khud+7caZDfRxe0bt0ar776KoDy5CcIgsgRERmv9evXIy4uDo6Ojvjwww/FDodEoo1cZ0x5DgDmzp0LU1NTHDhwAEeOHBE7HCKjVVJSgk8++QQA8OGHH2p0EcYQscj7l5mZGTp27IhDhw6pjikUChw6dAjBwcGVzm/bti2io6MRFRWlug0ZMgR9+vRBVFRUtT2X5ubmsLW1VbsZslmzZsHc3BzHjh3D/v37xQ6HyCgVFhZi1qxZAMoXi7C3txc3IBKNNnKdseU5T09PvPHGGwDKC1x2aBKJY+XKlbhx4wZcXFy4PRBY5KkJCwvDqlWrsG7dOsTFxeGtt95CQUEBJkyYAAAYP368ariThYUF/P391W729vawsbGBv78/zMzMxPxVdEbTpk3x9ttvAyhPfnK5XOSIiIzP//3f/+HevXto1qwZJk+eLHY4JDLmuvr3ySefwMrKCmfOnMH27dvFDofI6OTl5eHzzz8HUL743xNPPCFyROJjkVfByJEjMX/+fMyaNQuBgYGIiorCvn37VBPUExMTkZycLHKU+mfmzJmws7NDVFQU1q5dK3Y4REYlKysLX331FYDyFRItLCxEjojExlxX/1xcXBAWFgYAmPbeVBQXF1c65+69OygrK9N2aERGYeHChbh//z68vb25CvC/JALHFYgqNzcXdnZ2yMnJMeghLd9//z3ee+89ODs7Iz4+HnZ2dmKHRBq4fPkygPJFBki/TJ06FUuWLIG/vz+ioqIgk8nEDqlBGct3qj4xlvckOzsbXQe7wrVdMTo88TYWfveD6r6omHP4v/2jYFscgG+nh8PExETESKk6zHX66c6dO2jbti0ePHiAzZs3Y/jw4WKH1KBq+p3KK3mkFVOmTEHbtm1x//59fPHFF2KHQ2QULl++jKVLlwIo72gx9AKPSCxlZWX4bPlreP2PYoxeBsRgKQ4e3QugvMBbdWIMOoddR5OJW/HhdyN5RY+oHn344Yd48OABevbsiRdffFHscHQGizzSClNTUyxatAgAsHjxYsTHx4scEZFhEwQB06ZNg1wux/PPP49+/fqJHRKRQSorK8OH341Ek4lbYeNcfuyF7wQsPzYSv275GatOjEHAGwkAABsnsNAjqkfHjx/Hpk2bIJFIsHjxYkgkErFD0hks8khrnnnmGQwaNAilpaWquQtE1DC2bduGQ4cOwdzcHAsWLBA7HCKDlZKajFzzi7BxUj8eOisP0W6TVQWeko0TkGtxCSmpnPdIVBdyuRzvvPMOAGDSpEkICgoSOSLdwiKPtGrBggUwMTHB7t27sXv3brHDITJIBQUFeP/99wEA06dPR4sWLUSOiMhwNW3igbdDf8PFH70r3deie0mlYxdXeuOdp39D0yaGu0k8kTasXLkSFy9ehL29PacCVYFFHmlVmzZtMG3aNADA5MmTkZ+fL25ARAZo7ty5uHXrFjw8PDBjxgyxwyEyeIF+T+L1HhurLPQqurjSG5O6/4oAv05aiozIMCUlJany2+eff270G59XhUUead2cOXPg6emJxMREfPrpp2KHQ2RQoqKisHDhQgDAsmXLuFcQkZYE+j2J7o0+wu1/zKu8//Y/5ujRaAYLPKJ6MHXqVOTm5qJz58546623xA5HJ7HII6174oknsGLFCgDAkiVLcO7cOZEjIjIMcrkckyZNglwux4svvohnn31W7JCIjEZUzDmczPgGzbtW3iMPAJp3LcaJjK9xMea8liMjMiy7du3Cli1bIJPJsHLlSq4cXQ0WeSSK0NBQjBkzBgqFAq+//jpKS0vFDolI7y1btgznzp2Dra0tFi9eLHY4REZDuU3Cw4usPCxgUgJWnhzNQo+olvLy8jBlyhQAQFhYGAICAkSOSHexyCPRLFy4EI6Ojrh48aJqeBkR1c61a9dU8xO+/vpruLu7ixwRkXG4e+8O/m//qCoLvKqGbgZMSsAPf43C3Xt3tBEekUGZPn06EhMT4enpidmzZ4sdjk5jkUeicXZ2VhV3s2bNwqVLl0SOiEg/yeVyvPLKK3jw4AH69u2LN954Q+yQiIyGq4sbbIsDkJemfvziSm/431uGqOVeasfz0gDbovZwdXHTYpRE+m///v348ccfAQBr1qzhnPPHYJFHoho/fjyGDBmCkpISjB07FkVFRWKHRKR3Fi1ahJMnT8LGxgarV6+GVMqvdiJtMTExwbfTw3Hvp2GqQk+5iuaoF17FpKd+xT/fl2+XkJMK/DPrSXw7PRwmJiYiRk2kX7KysvDaa68BAN5991307t1b3ID0AP8SIFFJJBKsWrUKzs7OiI6Oxscffyx2SER6JSYmBp988gmA8mKvefPmIkdEZHwqFnpnF3mpbZMQ6Pck3u3/B/Z+7IClg4C/fr2KpKQkkSMm0i/vvvsu7t27B29vb8ybN0/scPQCizwSnbOzM37++WcA5fP0Dh8+LHJERPrhwYMHGDlyJIqLizFw4EC8+uqrYodEZLSUhd6cEYcrbZMQ6PckFk2KgIusM3Jzc/HKK69AoVCIFCmRfvnll1+wYcMGSKVSrFu3DlZWVmKHpBdY5JFOePbZZzFp0iQAwMsvv4yMjAyRIyLSfe+99x5iYmLg4uKC1atXQyKRiB0SkVEzMTFB0yYeVd7n2bwFNmzYACsrKxw5cgQLFizQcnRE+ic+Pl61D97s2bMRHBwsckT6g0Ue6YyFCxfC29sbd+/exdixY9nLSfQImzdvxsqVKyGRSLBhwwa4uLiIHRIRPYa3tze+//57AMDMmTNx/PhxcQMi0mFFRUUYOXIkCgoK0Lt3b07p0RCLPNIZTzzxBLZs2QJLS0vs27cPX3zxhdghEemkhIQEvP766wDK/1AMCQkROSIiqqmJEydizJgxkMvlGDFiBFJSUsQOiUgnhYWFISoqCo0bN8bGjRu56bmGWOSRTmnfvj1WrFgBAJgzZw72798vckREuiUvLw9Dhw5Fbm4uunfvjjlz5ogdEhFpQCKR4Mcff4Sfnx9SUlIwcuRIlJWViR0WkU5ZvXo1li9fDgBYt24d936tBRZ5pHPGjx+PN954A4IgYPTo0bh9+7bYIRHpBEEQ8MorryA2NhZubm74/fffYWpqKnZYRKShJ554An/88QdsbGxw7NgxzJw5U+yQiHTG2bNnVfPw5s6di4EDB4ockX5ikUc66fvvv0enTp2QmZmJIUOGIC8vT+yQiEQ3b948bN26Faampvjjjz/g5sbNlIn0VZs2bbBmzRoAwPz587F+/XrI5XIkJd+r8vyk5HuQy+XaDJFI61JTUzFs2DCUlJTgueeeU20RRJpjkUc6ycLCAn/88QdcXFxw6dIlDmchoxceHq6adL506VKuMEZkAF544QXVVbzXXnsNYZ/0x6odfRF3NUrtvJgrF7BqR1/M+2EMCz0yWAUFBXj22Wdx7949tGnTBuvXr4dUylKltvjKkc5q1qwZ/vzzT1haWmLv3r2YOnUqBEEQOywirTt27BjGjx8PoHxDWOWiK0Sk/7744gu8+OKLaNuxDIPfP4Jn34zHzjMvqQq9mCsXsPvcGDz7Zjy6jQ9noUcGqaysDC+99BLOnz+PRo0a4c8//4Stra3YYek1Fnmk05588kls3LgREokEy5YtUy09TWQs4uLi8Nxzz6GkpATPP/88Fi5cKHZIRFSPBEGAfxdg0S7AoXH5sZDxV7HzzEvY9ucv2H1uDPqNuwIAsHMECz0yOIIg4N1338WuXbtgYWGBP//8E97e3mKHpfdY5JHOe/755/Hdd98BKF9Od926dSJHRKQdSUlJGDhwILKzs9G1a1cuIU1kgFLvpwDWl1QFnlLI+Kt44D5JVeAp2TkCcovI8nZEBuDrr7/G8uXLIZFIsHHjRk5HqCcs8kgvhIWFYerUqQCAV199FZs3bxY5IqKGlZqair59++LWrVvw8vLCzp07YWlpKXZYRFTP3N2a4MXev+HQL20r3de2Y1GlYwfXt8GIPuFwd2uijfCIGtTixYvxv//9DwCwaNEiDBs2TOSIDAeLPNILEokEixYtwsSJE6FQKDBmzBj8+eefYodF1CDS0tLQt29fXL16FR4eHjhw4ACcnJzEDouIGohf2w4Y9OTGKgu9ig6ub4MhXTbBp02gdgIjakDLli3DtGnTAACffvqpqjOf6geLPNIbEokEK1aswOjRo1FWVoYXX3wRe/bsETssonqVkZGBkJAQxMbGwt3dHUeOHIGnp6fYYRFRA/Nr2wFedjNxJcKiyvuvnDdHa4dPWOCRQVi1ahWmTJkCAJgxYwbmzp0rckSGh0XeQ5YuXQpPT09YWFigS5cuOHv2bLXnrlq1Cj179oSDgwMcHBwQEhLyyPOp7mQyGdauXYvnn39etYdKeHi42GER1YukpCT06dMHly5dgqurKw4fPoxWrVqJHRYZIOY63RNz5QKu5cyrcogmALTtVIz4rC8qba9ApG+WLFmCSZMmASifjvPVV19BIpGIHJXhYZFXQXh4OMLCwjB79mxcuHABAQEBCA0Nxf3796s8/+jRoxg1ahSOHDmC06dPw8PDA08//TTu3at6I1OqH6ampggPD8eoUaNQVlaGUaNGYdWqVWKHRVQnCQkJ6N69O6Kjo+Hq6opDhw6hTZs2YodFBoi5Tvcot0l4eJGVhylX3WShR/pIEAS1YZlTp07F/PnzWeA1FIFUOnfuLEyZMkX1s1wuF9zd3YV58+bVqH1ZWZlgY2MjrFu3rsbPmZOTIwAQcnJyNI7X2JWVlQlvvvmmAEAAIHz11VeCQqEQOyyDFB0dLURHR4sdhsGKiIgQnJycBACCl5eXcOPGDbFD0lv8Tn08bec6viePdi/prjBneWvhvIBKtw3nLao8Pmd5a+Fe0l2xQzc4zHUNp6ysTJg0aZLqb7bPP/+cf7PVUk2/U3kl718lJSWIiIhASEiI6phUKkVISAhOnz5do8d48OABSktL4ejoWO05xcXFyM3NVbtR7chkMixbtgwzZswAAPzvf//DhAkTUFxcLHJkRDW3c+dO9OrVC2lpaQgKCsKJEyfQokULscMiA6WNXMc8pxkXZ1fIioKQk6l+/OD6NrBKWllpMZasdCDrTlO4OLtqMUqi2svNzcXQoUOxcuVK1foKn3zyCa/gNTAWef9KT0+HXC6Hi4uL2nEXFxekpNRsL5qPPvoI7u7uasnzYfPmzYOdnZ3q5uHhUae4jZ1EIsG8efOwZMkSSKVSrFu3Dv369at22BGRrhAEAV988QWee+455Ofno2/fvjh69Gil7yCi+qSNXMc8pxmZTIaZ72zEqfUjVYWechXN5wePU1t1MysdeO9ZYOm3x/DLL7+oPY5CocD9avbOu38/BQqFokF/D6KqJCQkoGvXrti1axfMzc2xefNmvPHGG2KHZRRY5NWTr7/+Gps2bcK2bdtgYVH1ylgAMHPmTOTk5Khud+7c0WKUhuudd97B3r17YWdnh5MnT6Jz585cGIB0Vn5+PkaMGIFPP/0UAPD2229j3759sLW1FTkyokerSa5jntNcxUJv14rWatskKLdX2LWiNU6ufQFtmr6AsrIyTJgwAdOmTUNJSQkUCgV+/HE8du/ug2vXotUeOyHhInbt6oMffxzPQo+0av/+/ejcuTPi4uLQpEkTHD9+HC+++KLYYRkP7Ywe1X3FxcWCTCYTtm3bpnZ8/PjxwpAhQx7Z9rvvvhPs7OyEc+fOafy8nKtQv+Li4gQvLy8BgGBiYiLMnz9fkMvlYoel9zhPof5EREQIrVu3FgAIpqamwqpVq8QOyaDwO/XRxMh1fE9qrqysrNq5dveS7gplZWWCXC4XZs2apZrb1LFjR+Gbb4YImZkQBAHCpk0+QkLCJUEQBCE+PkrYtMlHEAQImZkQli0bw5z4CMx19aOkpET46KOPBIlEIgAQgoODheTkZLHDMhick6chMzMzdOzYEYcOHVIdUygUOHToEIKDg6tt9+233+Lzzz/Hvn370KlTJ22ESo/Qtm1bnDt3Di+++CLKysrwwQcfYPDgwUhLSxM7NDJyCoUCCxYsQNeuXREfH48mTZrgyJEjmDhxotihkRFhrtNtMpkM7m5NqrzP3a0JZDIZpFIp5s6di507d8LBwQFmZhF47bWdcHAoP2/kyDhERIzE3r2/4cKFURg5Mg4A4OAAvPTSRl7RowZ17do1dO/eHd988w0EQcAbb7yBI0eOwNWVc0i1Tjs1p37YtGmTYG5uLqxdu1aIjY0VJk2aJNjb2wspKSmCIAjCuHHjhBkzZqjO//rrrwUzMzNhy5YtQnJysuqWl5dX4+dkD2fDUCgUwvLlywVzc3MBgNC4cWPht99+40pOtcTezbq5fv26EBISoup5Hzp0qJCeni52WAaJ36mPp+1cx/ek4Vy4cF749FNLQRBQ6RYZaVHl8dWr2wqpqbyqUhXmutqTy+XC8uXLBWtrawGA4ODgIGzZskXssAxSTb9TWeQ95IcffhCaNWsmmJmZCZ07dxb++ecf1X29evUSXn75ZdXPzZs3V/3RVvE2e/bsGj8fk1/DunjxouDv7696b4YMGSLcu3dP7LD0DhNf7ZSWlgrffvutYGlpKQAQLC0thRUrVrCzoQHxO7VmtJnr+J40rNjYCGHJksZCVQXdw7eKQzmpMua62omJiRG6deum+m546qmnhMTERLHDMlg1/U6VCIIgaOmiIVUhNzcXdnZ2yMnJ4aILDaSkpARff/01vvjiC5SWlsLGxgaffPIJpk6dCnNzc7HD0wuXL18GAPj7+4scif44fvw43n33XURFRQEA+vTpgx9//BHe3t7iBmbg+J2qe/ieNLyEhIs4dep5vPzyzWrPCQ/3QceO4fDyaqfFyPQLc51m8vLy8PXXX+O7775DaWkprK2t8dVXX2Hy5MmQyWRih2ewavqdyjl5ZPDMzMwwa9YsXLhwAV26dEFeXh4++ugj+Pr6Ytu2bWA/B9WnhIQEDBs2DE899RSioqLg4OCA1atX49ChQyzwiKhBeHsHwNn5S0RGVr3iaWSkOezsZj+ywFMoFEi7n1rlfWn3UzmPj1TKysrw448/wsvLC1999RVKS0vx7LPPIjY2Fu+88w4LPB3BIo+Mhr+/P06dOoV169bBzc0NN27cwLBhw9ClSxfs2bOHxR7Vye3btzF58mRV54FUKsUbb7yBK1euYMKECdz0lYgaTELCReTmfo6goKIq7w8KKkZ8/BScOXO0yvsVCgXWLHkV+9f1wY1rMWr33Ui4jP3r+mDNkldZ6Bk5uVyOTZs2ISAgAG+++Sbu378PLy8vbN26FTt37uSemDqGRR4ZFalUivHjxyM+Ph6ffPIJLC0tce7cOQwaNAhdunTBjh07IJfLxQ6T9Eh8fDxeffVVeHl5Yfny5SgrK8PAgQNx6dIlrFixAs7OzmKHSEQGLCHhotoqmtV5990M7N3bF2+++Qru3r2rOq4s8F4IXIexfeMQuWeEqtC7kXAZUftGYmzfOLwQuI6FnpEqLS3F2rVr4evri1GjRiE2NhaOjo5YvHgxYmJi8Pzzz7MjUwexyCOjZG1tjc8//xy3bt3C9OnTYWVlhXPnzmHo0KFo3bo1Fi1ahOzsbLHDJB2lUCiwZ88eDBo0CG3btsWaNWtQVlaGfv364ciRI9i9ezf8/PzEDpOIDNz9+yk4fvylKgu8qKjKQzfnzBFga7sOnp7N8NJLL+HEiRNYvWQCXghcB3ub8nNe6B6LyD0jcHDf74jaNxLDusUCAOxtUG2hp1AokJ52v8oY09PuszDUU0lJSZgzZw6aN2+OCRMmID4+Hg4ODpg7dy6uX7+Od999F2ZmZmKHSdVgkUdGzdnZGd9++y1u3ryJGTNmwMHBATdu3EBYWBiaNGmCcePG4cCBA7y6RwCAGzdu4IsvvkDr1q0xaNAg1TDfQYMG4dSpUzh48CB69+4tdphEZCQaN3ZGcXFHZGWpHw8P90FKyhqEh/uoHc/MBK5dc4ZcLiA8PBw9e/bEvavhqgJP6YXusXDJHa8q8JTsbQDz0rPISP9v71mFQoFfvp2IQ/P74GaC+vk342NwaH4f/PLtRBZ6eqKkpAQ7duzA8OHD0bx5c8ydOxfJyclwcXHBN998g9u3b2PWrFmwt7cXO1R6DBZ5RCgv9ubNm4e7d+9i5cqV8PPzw4MHD7BhwwY8/fTTaNasGaZPn45Tp06x4DMySUlJWLp0Kbp164ZWrVrh008/xfXr12FnZ4f33nsP8fHx2LVr1yM3kiYiagjlc3/XY9OmMapCT7mK5jPPvIQOHX5TFXpZWUB4+Bhs2ZKMqKgovPrqqzA3N8fXq4vx2arKj92uVeX5fX+c9EW353+Hk7MLgP8KvKGWazCyVSwurx+hKvRuxsfg8i8jMbJVLIZarnlkoScIAjLS0qq8LyMt7ZFz5gVBQGZ6epX3ZaanP3a+vSAIyMrIqPK+rIwMo5ivX1ZWhqNHj+KNN96Aq6srhg4dii1btqCsrAzdu3fHr7/+isTERHz44YewsbF5/AOSTuAWCiLj0tK6SRAEnDlzBuvXr0d4eDgyMzNV9zk5OWHQoEEYPHgwevfuDUdHRxEj1Q5jWlZaLpfj7Nmz2LNnD3bv3o3IyEjVfVKpFP369cPo0aMxfPhwPPHEEyJGSlXhd6ru4XvS8BQKBX78cTwsLCLQs+dmtVU0ExIu4vjxl1Bc3BFvvLEeUul//ftZWVnYvHkz1q9dgdCAKMx6vfrn+OOkL4IGbkZLLz/VcyoLPDvL/877844frLt/hvyTszDY479FXHIKge2FEzDuw5/UYhAEAb/OngTz26fx5Cdb0Ny7req+2/FxOPflcBQ3D8bouSsrzfsSBAGbp78J8+hT6PDDFjRr3UZ1X2L8FVx4ZziK23XDiO9WVDlnTBAEbJk8GeYnTyJoyxbklJQAKM91d65eReTw4Sju3h0vLltmcHPO7t+/j3379mH37t3Yv38/cnJyVPe5ublh1KhRGD9+PAICAkSMkqpS0+9UFnkiY/LTfSUlJdizZw/Cw8Oxd+9etS9CiUSCdu3aoVevXujVqxc6d+6Mpk2bGlwyMOQi78GDBzh37hxOnDiB48eP49SpU8jLy1PdL5FI0LlzZ7z00ksYOXIk3NzcRIyWHoffqbqH74l2KBQKpKffh7Oza6X77t9PQePGzmrF1cM2rP0/+Jq+hw5tyyrdd+Yy8PHaThg4eBR69OiBdu3aoSA/D4fm98HIVrGVzo+9bwFf58pXAsOv+6LfB0fQ2Kl8QSplgTf47k+wNQX2yP3h99HvaO7dFrfj43D5mxEYZHIZuaXAn00nqhV6ygJv4OGVsJEC+53awWfx72jWug0S468gbuoIhKZFI08B7Ok7qVKhpyzwnlmxAjYADrZvD3z5JVw9PWFnaoorw4ejf3Q08gDse/NNvS70BEHArVu3VHnuxIkTiItTn8fZqFEjDBkyBGPGjEHv3r25DYIOY5GnJ5j89EtpaSlOnDiBnTt3Yu/evbh69Wqlcxo1aoQOHTogKCgIgYGBaNOmDby9vfV6iIMhFHllZWVITEzElStXcPHiRVy8eBFRUVGIj4+vNBzH3t4eoaGhGDRoEEJDQ7lCph7hd6ru4Xui+5SraD48B6+iuauAeWuA4hJAJpPBx8cHvq098YzzeUwISnnsc/x5xw/+4zejhbcvgMoFntIeuT+sX/gCeVs+wSCTy6rjFQs9AGoFntJ+p3awfvcr5C/5H0LTolXHHy70Hi7wlHa1bo28qVPReMUK9I+u0B76U+hlZ2fj2rVriI6ORlRUlCrfVbWYXFBQEAYNGoRBgwbhySefZGGnJ1jk6QkmP/2WkpKC48eP4++//8aJEycQExODsrLKvaAA4OrqCm9vb7Rq1QpNmjSBu7s7mjRpovrvRo0awdzcXMu/Qc3oepGnUCiQlZWF5ORkJCcnIykpCcnJybh37x6uX7+Oa9eu4ebNm9W+N+7u7ujRowd69uyp6qVmstNP/E7VPXxPdFtNCjylhb9ZY8FGUySl/LfSi4Up8OlA4H8Dq2/32xVPOD/zf+jUpQdsbW0hkUiQkZaGIx/0wYsWMZXOj8u3gI915SuBW4r80Gf+EUgkEhwb0wdDMy5XOueqwgJtpJXbbm/kj6c2HoFj48bIysjA8T59MKRCIad0xdwcbYuLKx3f2a4deh45AodGjar/RRtYcXExUlJSVDlO+e/t27dx7do1XLt2DRnVzC80NTVFhw4d0LNnT/Ts2RPdu3dHIxF/F6o9Fnl6gsnPsBQVFeHy5cuIjIzEhQsXcOnSJSQkJCCtmgnlD7OysoKDgwMcHR3h4OAABwcHWFtbw8rKClZWVrC0tFT718LCAiYmJpDJZDAxMan2v2UyWaXeR01+vnHjBgCgVatW1Z6vUCggCILav5r8t1wuR3FxMYqKiqq9PXjwANnZ2ZVuOTk5NVq5zdzcHK1atUJAQAACAgIQGBiIgIAAuLpWHt5E+onfqbqH74nuSrufiv3r+mBs38pbMERft6hy8ZVfDvsg4OlfcTvxjirXXYs5h7XDk9DJs/JznL8F9FsE5P77UFKpVJXfHKzNMd7xNt72yn9srBszmiK7x1Q4N2kOmUyGnNQUWG/8DsOLbj227dYnWgJvfg6XZs3/+91v3wZmzcLQ69cf235Hq1aQfvUVGnt4aJTfqjpWWlr6yDxXVFSE3NzcKnNdYWHhY2MFABcXF/j4+CAwMFB18/Hx4XYHBoJFnp5g8jMOyuET8fHxuHXrFpKSknDv3j3VLSUlhctL1wNHR0e4u7vDzc1N9W/Lli3h5eUFLy8vNGnS5JFzUkj/8TtV9/A90V0VN0KvuI3CHyd9Ydd6DnIT5qhd4cvOA/6IehkT3l2t+i5VrqJZcZGVhy04ZIZ5+02QkfOg0n0WMmBWB2BmUPVxfh0JzIkAih9KkxYSYK478OEj+um+TQFm3QMqX5sDLAB8DuCD6ptjAYCPUXV7MZiZmcHNzU0tzzVt2hTe3t7w8vJCy5Yt9Xp6CD0eizw9weRHQHmizcnJQVZWFrKyspCZman6t6CgAIWFhXjw4EGlf4uKiiCXy1FWVoaysjLVf1d1TOnh/+Ur/lzdfSUlJRAEQdULWNV5UqkUUqkUEomkxv9d8ZhUKoWFhcUjb5aWlrC3t6/y5uDgAAuLypv/knHhd6ru4Xui2x4u9CquollxKGdtCzylP+/4wXvkL7Br5KqW47KysnD57HGMTV+HAPvKQ+qjMqR4PykQJjaNq8xv8ux0rDG7hQDLys8ZVQiMyXNHqYX6SsgVc5hpfj5+S0lBVWtIXgQw0sUFJVZWEARBo5xW3f1mZmaPzHPm5uawtbWtNtfZ29vr/LxAalgs8vQEkx/pA12fk0ekxO9U3cP3RPcpCz3z0rPo9vzvqm0SgPI5e6e2j0CxaWe1Ai897X6dV9cEoLaKZnUqrrpZUcVVNKtTcdXNh925elW1imZ1DrZvjza//w6P1q2rPYdIm2r6ncpxS0RERERGTCqVYsK7qxH68hG1Ag8AWnr7I/TlI2oFHgA4NmqMIocuyHlomtifd/yQ2mkj/ryj/jg5hUCRQxc4NmqsOlaTAg8ABsouI+ab4bidcEV1rCYFHgCEpkUjbupwJMarr4ZdkwIPAEIuXcLV4cNxJz7+kecR6RoWeURERERGTiqVwsnZpcr7nJxdKs1nlkqlGPfhT9heOEFV6Cm3SejzzDD4jwtXFXpVbYSekZaGc18Or7LAi8uvPPR+oOwyzn3xIjLS0pCZno4L7wyvssC7qqjcNjQtGhHvvIjM9HQAQFZGBiKrKfCuVLHKdcilS4h88UVkVbNyJZEuYpFHRERERBqrWOiFX/dV2wevRWs/+I8LR/h130oFHgA4Nm6M4ubByC1Vf8w9cn+kjd2E3WXq0wNyS4Hi5sFwbNwYDo0aobhdN+Q9tBDLfqd2SP/yd+x3aqd2PE8BlLTrptr+wN7REcXduyPvod9nV+vWiFy4EAfaPdQeQHH37rB3dNTsBSISEefkiYxzFUgfcE4e6Qt+p+oevieGT6FQIDMjXW2unVJ62n04Nmpc5crGD2+IXnHuXcWhnBU3QlcuOiIIgtqG6BXn3lUcyvnwRugVn7vihugH27cHvvwSrp6esDM1VQ3l1KeN0Mk4cOEVPcHkR/qARR7pC36n6h6+J/QoykLP/PZpPPnJFrXFVW7Hx+Hcl8NR3DxYrcCr2Hbz9DdhHn0KHX7Yora4SmL8FVx4ZziK23WrVOBVbL9l8mSYnzyJoC1bkFNSAqA81925ehWRw4ejuHt3FnikU1jk6QkmP9IHLPJIX/A7VffwPaHHEQQBmenpaOTkVOm+jLQ0ODZuXG2RJQgCsjIy4Ni4caX7MtPT4dCo0SMLNEEQkJ2ZCYdGjSrluqyMDNg7OrLAI51S0+9UEy3GRERERESkRiKRVFngAaj2eMW2VRV4AKo9/nB75Vy9h1V3nEgfcOEVIiIiIiIiA8Iij4iIiIiIyIBwuCYRERHppHv37mH/of1Iy02Dk60TQvuFokmTJjVqm5ubi79PHkVa7n042TqjV/feGs0JLCoqwumzJ5GWkwInO1cEd+4OC4vKe7BVpaSkBOcunEFWbiocbF3wZIcuMDMzq/Fzl5aWIvLieeTkpsDO1hVBAZ1gampao7ZlZWWIjr6A3NwU2Nq6ol27DjAxqfmfe3K5HDHRUcjNToGtvSv82gVCJpPVuG3c5UvIzUyBraMrfPzb17gtUL5K55XL0chNT4FtY1e09W9X5aqc1bW9ejkaufdTYevsgjYatFW2v5WQgIK0NJgKArz9/DRqT6RrWOQRERGRTjl7/iw+mP8BrsmuIWVICgRvAZJsCVw/dIWX3AsLpi/Akx2frLJtwvUEzP3pf7gqjUReyA1IXQUosiWw+aYl2iiCMOf1efBq6VXtcyfeTcT3v83BDckpSHrGw6y1gJJsCZYsbYMWimC8N3ouPJp4VNk2OSUJP/3xOVIkx+AYHAdLbwGF2RL89rMPXIWn8NqwT+Hm6l7tc99PS0X4zi9RID2KFk9eho2rgJvZEhze4A9roQ9GDP4fnJ2q3rA8Pf0+9u37BhLJQXToEA1XVwHZ2RJs2tQOgtAPAwbMQOPGlbc4UMrMSMeBHd9BkvcXAj0uwtVGQPYNCf74OwAK6/54euiHcGxU9Ry3rMwMHN48H5K7+9HeMgqulgKyCyXYuSUQQtNn0Gf4+3BwrH5+W3ZmJv7+ZSEkMXvhnx8JV1MB2aUS7LIOguA3AL3GhVW7R11OVhaOr1wEnNgDv8QLcJUIyBYk2NOsA4TuA/HUG+/BzsGh2ufOycrCycWLIdm9G/4REbAXBORIJNjfsSOEQYPQferUR7Yn0lVcXVNkXHWM9AFX1yR9we9U3aPpe7JpxyZMWz8Nqf+XCrhVcUIS4PK2C75/+Xu89NxLancdPnUQH2x9HcKcW5BZV24qzwckczwxf9gq9O0WUun+fyJP4st9E+ASlgCZeRXti4HUhd74+Jk16BrUXe2+yMtnsfLIK2j/ZhxkVVx0k5cC0T/6YFKfdQj0q1ygxlyJwPYTLyPklRhUdeGtrAw4uNYPQ3usg1/bjmr3JSRE4Z9/xmP06GhUdeFMLgd+/bUdunZdD2/vwEr3X4+/hHO7x2N494vVtt9yKgBPDvoFLb3VNwq/GX8ZEevGYZhHFKq68KVQANvuBKLDy7+gRevKOeTW1RhEfTcOQ6SRkFaxiKVCAP4UghD4wQY0b+Ordt/tK7G4NH0cBiVdqLbtbvcOCJi/Ac3a+FS6/86VK4geOxYDIiJQ1fqZAoC9HTui3YYN8GjbtooziLSvpt+pvA79kKVLl8LT0xMWFhbo0qULzp49+8jzf//9d7Rt2xYWFhZo164d9uzZo6VIiYiIakdXc93Z82fLC7xN1RR4AOAOpIanYtr6aTgXcU51OOF6Aj7Y+jok31Vd4AGAzBqQfHcLH2x9HdduXFO7L/FuIr7cNwHuM6su8ABAZg64z0zAl/sm4M69O6rjySlJWHnkFQS9U3WBBwAyUyDw7Tj8ePhlJKckqd13Py0V20+8jGcmVl3gAYCJCfDMxBhsO/4y7qelqo6np9/HP/+Mx7hxVRd4ACCTAePGReOff8YjIyNN7b7MjHSc2z0eLz1VdYGnbD+y50Wc3TUOmRnpquNZmRmIWDcOLzavusADAKkUeKF5FCLWjUNWZobafdmZmYj6bhyGyqou8ABAKgGek0Yi8ruxyM7MVB3PycrCpenjMDi56gJP2XZw8gVEvT8WOVlZavflZGUheuxYDKymwAMACYCBERGIHlu5PZGuY5FXQXh4OMLCwjB79mxcuHABAQEBCA0Nxf3796s8/9SpUxg1ahRee+01REZGYujQoRg6dKjqqgcREZGu0eVc98H8D8qv4D1u+pkpkPpDKj6Y/4Hq0Nyf/gdhzi08bksziQQQZt/CnFUz1Y5//9scuIQl1ChO5/cS8P1vc1Q//7z1c7R/M65Gbdu/GYeft36hdix855cIeSWmRu37T4jB5j+/Uv28b983GD06ukZtR4+Oxt6936gdO7DjOwzvfrFG7Yd3v4gDO79T/Xzk9wUY5hFVo7bDPKJw5PeFasf+/mUhhkgja9R+iDQSf29YpPr5+MpFGJR0oUZtn02+gOMrv1c7dnLxYgyIiKhR+wERETi1ZEmNziXSFSzyKli4cCFef/11TJgwAb6+vlixYgWsrKywevXqKs9fvHgxnnnmGUyfPh0+Pj74/PPP0aFDB/zf//2fliMnIiKqGV3Ndffu3cM12bXqr+A9zB1IkCTg3r17yM3NxVVpZLVX8B4mswGuSiKRl5cHACgsLMQNyalqr+A9zMQCuI5TKCoqQnFxMZJxrNoreJWe2xRIxjGUlJQAKF9kpUB6tNoreJWe2wTIwxGUlpairKwMwMFqr8BVem4ZAByEXC4HUL5QiiTvL83a5/wFuVxe/hh39lV7Be9hUimAO/tUz61QKCCJ2VvtVbhK7SWA5PJeKBQKKBQK4MQejdri5O7ydsrn3r272it4D5MAwK5dqvZE+oALr/yrpKQEERERmDnzv549qVSKkJAQnD59uso2p0+fRlhYmNqx0NBQbN++vdrnKS4uRnFxsern3NxcAEBsbCysrWuYnYi0LCGhZr3bRGLLz88XOwSdpo1cV9s8t23nNqQMTqnprwIASBmcgtXrVsPB0QG5/W7ARoO2uf1uYN2GdejdszfORvwDSY94jZ5b0uMqft20AWZmpnDoWrOreEoOXWOx+fffEBjQEZdjLqJFJ82uirbsdBlbt26GTCZFhw41u4qnFBR0Cdu2/Y62bf0RfzUGAR41u4qnFNjsInZs/wNSSNDOIkqjtu0sIvHnjm3wat0WN+Kvwi8/Epq8aX75F7BrxzZAAPxvXwBqvmApfG9dwK4d29HSuzVuJSTAv4ZX8ZTaRkRg944daOHtrVE7ovpW0zzHK3n/Sk9Ph1wuh4uL+qpVLi4uSEmpOumkpKRodD4AzJs3D3Z2dqqbh0fVK3QRERHVN23kutrmucwHmRAcNFsLTnAQkFWYhewHGZBp2FbmICC7sHyOV3ZBBsw0bG9mLyCnMBO5DzJgpWFbS3sBeUXlc7zyH6TDRsP21g4C8gsz8eBBOhw0bOvgIKCwsHxu3IP8DDjYaNbe3lpAYUEGHuSlw8FKw7aWAgpz/33u7HQ4mGrY3lTAg5wMPMhKh4NUw7ZSAYX/zgksSEuDvYbrDtoLAgozMh5/IpGO4JU8LZs5c6Zaj2hubi48PDzg6+vLleBI53F1TdJ1yqtGJJ7a5rl2rdtBki2BgJr/8S3JlsDf2x9OTo2xIVsCaNBWkS1BoE8Q/P39kZaZiuMati/JkSDQrxPMzEyxT8O2RTkSBPh1gr+/Px4U5eFmtgQuTWvePj9bgoB2nSGTSpCdLYGbW83bZmdL0K5dZ/j7+0NRVozsGxI4O9a8fU6+BO0Du0AiSJC9S4LG1hq0LZKgfccu8PP3h1QhR/ZBCRwtNGhfKkFAp66AonybBAcNXvMcQYKALl3R1t8fpv9uk6BJoZcjkSCga1e0YR4kkdU0z/FK3r8aN24MmUyG1NRUteOpqalwdXWtso2rq6tG5wOAubk5bG1t1W5ERETaoI1cV9s8F9ovFK47q8+fVca20xWh/ULRq3tv2BxsqVFbm4Mt0atHbwBAcOfuEI631qi9cLwNgjt3Q6egzsg8XXl5/kfJPO2LTh06AwCCAjrh5jnNCocb5/wRGNAR7dp1QEREu8c3qODChfZo164DAMCvXSCi7gRo1D7qTiB8/QLg498elwoDNWp7qTAIbX3L423r3w6XrYM0an/ZugPa+PqjjX87xDTroFHbmOYd0NrXDwDg7eeH2I4dH9NCXVzHjvD29X38iUQ6gkXev8zMzNCxY0ccOnRIdUyhUODQoUMIDg6usk1wcLDa+QBw4MCBas8nIiISky7nuiZNmsBL7gUk17BBEuAteKNJkyawtbVFG0UQ5DWckinPA9oIQbCxKZ8QZmFhgZZCN8iLH9PwX2VFQCt0g4WFBczNzeGGpyAvreFzlwJueApmZuUTykxNTfGEojfKymr43GWADfrAxMQEJiYmEIR++Hctk8c/txwAQiD7d6UVmUwGweZpjdoLtv0hk8nKH8PjGdR0LRKFAoDHM6rnlkqlEPwGQFHDi2kKARD8B0AqlZa37T5Qo7boPgjSf1eJkUqlEAYNqvF1QAGAMOi/9kT6gJ/WCsLCwrBq1SqsW7cOcXFxeOutt1BQUIAJEyYAAMaPH682WX3q1KnYt28fFixYgCtXrmDOnDk4f/483n77bbF+BSIiokfS5Vy3YPoCuExxAR5XMJWWb4g+/4P5qkNzXp8HyRxPPG4EniAAkrmemPP6PLXj742ei9SFNVtU4/73rTFt1BzVz68N+xTRP9bsal70jz54bdgnasdGDvkYB9f61aj9wbV+GDH4f6qfBwyYgV9/rdnVvF9/bYcBAz5SO9b/uen4/WTNrub9fjIA/YdMV/3cZ/j72HYnsEZtt94JRJ/h6gv49BoXhj+Fml3N26kIQq+x76l+fuqN97DbvWZX83a7d0DPSdPUjnWfOhV7a3g1b2/Hjug+dWqNziXSFSzyKhg5ciTmz5+PWbNmITAwEFFRUdi3b59qwnliYiKSk//rYuzWrRt+/fVXrFy5EgEBAdiyZQu2b9/OeUtERKSzdDnXPdnxSXz/8vdwGelS/RW9JMBlpAsWv7IYT3Z8UnXYq6UX5g9bBWG6Z7VX9OR5gDDdEwte+AleLb3U7vNo4oGPn1mDpHneKCuqun1ZEZD0dWt8HLoaHk3+W1DGzdUdr/dei8gffKq9oicvBSJ/8MGkPuvg5uqudp+zkwuG9liHvav8qr2iV1YG7PvJD0N7rIOz038L4TRu7IyuXdfjl1/aVXtFTi4HfvmlHbp2XY9GjZzU7nNs1Bidn/0Fm44FPLL9pmMB6PzsL3Bs1Fh13MGxETq8/Au23A6s9oqeQgFsuR2Iji//AgfHRmr32Ts6IuCDX7BdHlTtVTmFAGyXByFo+gbYOzqqjts5OCBg/gbsdO3wyLZ/unVAwPwNsHNwULvPzsEB7TZswJ6OHau9oicA2NOxI9ptqNyeSNdJBEHD5YWoXuXm5sLOzg45OTmcn0c6S7npMTswSNfxO1X31OY9ORdxDh/M/wAJkgSkDEmBYC9Aki2B605XeAvemP/BfLUCr6JrN65hzqqZ5fvghdyA1F6AIlsCm4Mt0UYIwpzX51Uq8Cq6c+8Ovv9tDq7jFCQ9r8LMTkBJjgTC8TZohW6YNmqOWoFXUXJKEn7e+gWScQyOwbGwsBNQlCNB5mlfuOEpvDbsk0oFXkX301Kx+c+vkIcjaPnkZVjbC8jPluDGOX/YoA9GDP6fWoFXUUZG2r8bnR9Ehw6XYG8vIDtbggsX2gMIwYABH1Uq8CrKzEgv3+g85y8ENbsIO2sBOfkSRCYGAHZPo/+Q6WoFXkVZmRnlG53f2Yf2lpGwsxCQUyTBpcIgwOMZ9BkeVqnAqyg7M7N8o/PovWhXcAF2pgJySiW4bN0B8B+Ip8ZOUyvwKsrJyirf6PzkbvjdvgA7iYAcQYKY5h2A7oPQc9K0RxZoOVlZOLVkCYRdu+ATEQH7fxdlievYEcKgQeg+dSoLPNIpNf1OZZEnMv5BQvqARR7pC36n6p66vCf37t3D/kP7kZ6XjsY2jRHaLxRNmjSpUdu8vDz8feIo0vPS0NjGCb169FbNwauJoqIinD57Chm5qWhk64LgzuVz8GqipKQE5y+cRVZeKhxsXNCpQ2fVHLyaKC0txcVLF5CdmwJ7W1cEtO8AU9Oa7bZeVlaGy5cjkZubCltbF/j7B8Gkpjuto3yD9NiYi8jNSoWtgwt8/QJU8+hq0vZKbDRyM1Jh28gFPn7tNZrHplAocDX2MnLTU2Db2BVtfP1r3F6hUCA+Nga591Ng6+yK1r5+Gj/37h07UJiRgYCuXeHt68s5eKSTWOTpiZycHNjb2+POnTv8g4R0VmxsLADAlyuLkY5TLtefnZ0NOzs7scMhMM+R/mCuI31Q0zzHffJElpeXBwDcFJ2IqB7l5eWxyNMRzHNERPXvcXmOV/JEplAokJSUBBsbG0gkEo3aKit59o5qhq+b5via1Q5fN83V9TUTBAF5eXlwd3fnUCsdUZc8B/D/o9rga1Y7fN00x9esduryutU0z/FKnsikUimaNm1ap8fgpuq1w9dNc3zNaoevm+bq8prxCp5uqY88B/D/o9rga1Y7fN00x9esdmr7utUkz7Gbk4iIiIiIyICwyCMiIiIiIjIgLPL0mLm5OWbPng1zc3OxQ9ErfN00x9esdvi6aY6vGT2MnwnN8TWrHb5umuNrVjvaeN248AoREREREZEB4ZU8IiIiIiIiA8Iij4iIiIiIyICwyCMiIiIiIjIgLPL0zJdffolu3brBysoK9vb2NWojCAJmzZoFNzc3WFpaIiQkBAkJCQ0bqA7JzMzEmDFjYGtrC3t7e7z22mvIz89/ZJvevXtDIpGo3d58800tRSyOpUuXwtPTExYWFujSpQvOnj37yPN///13tG3bFhYWFmjXrh327NmjpUh1iyav29q1ayt9riwsLLQYrfiOHTuGwYMHw93dHRKJBNu3b39sm6NHj6JDhw4wNzeHl5cX1q5d2+BxkriY6zTHXFczzHWaY57TjK7kORZ5eqakpATDhw/HW2+9VeM23377LZYsWYIVK1bgzJkzeOKJJxAaGoqioqIGjFR3jBkzBjExMThw4AB27dqFY8eOYdKkSY9t9/rrryM5OVl1+/bbb7UQrTjCw8MRFhaG2bNn48KFCwgICEBoaCju379f5fmnTp3CqFGj8NprryEyMhJDhw7F0KFDcfnyZS1HLi5NXzegfOPTip+r27dvazFi8RUUFCAgIABLly6t0fk3b97EoEGD0KdPH0RFRWHatGmYOHEi9u/f38CRkpiY6zTHXPd4zHWaY57TnM7kOYH00po1awQ7O7vHnqdQKARXV1fhu+++Ux3Lzs4WzM3Nhd9++60BI9QNsbGxAgDh3LlzqmN79+4VJBKJcO/evWrb9erVS5g6daoWItQNnTt3FqZMmaL6WS6XC+7u7sK8efOqPH/EiBHCoEGD1I516dJFeOONNxo0Tl2j6etW0/9vjQUAYdu2bY8858MPPxT8/PzUjo0cOVIIDQ1twMhIVzDX1QxzXc0w12mOea5uxMxzvJJn4G7evImUlBSEhISojtnZ2aFLly44ffq0iJFpx+nTp2Fvb49OnTqpjoWEhEAqleLMmTOPbLtx40Y0btwY/v7+mDlzJh48eNDQ4YqipKQEERERap8RqVSKkJCQaj8jp0+fVjsfAEJDQ43iM6VUm9cNAPLz89G8eXN4eHjgueeeQ0xMjDbC1Vv8rFFNMNcx1z0Oc53mmOe0o6E+ZyZ1ak06LyUlBQDg4uKidtzFxUV1nyFLSUmBs7Oz2jETExM4Ojo+8vcfPXo0mjdvDnd3d1y6dAkfffQRrl69iq1btzZ0yFqXnp4OuVxe5WfkypUrVbZJSUkx2s+UUm1etzZt2mD16tVo3749cnJyMH/+fHTr1g0xMTFo2rSpNsLWO9V91nJzc1FYWAhLS0uRIiNdwlzHXPc4zHWaY57TjobKc7ySpwNmzJhRaZLqw7fq/mcyVg39mk2aNAmhoaFo164dxowZg/Xr12Pbtm24fv16Pf4WZGyCg4Mxfvx4BAYGolevXti6dSucnJzw448/ih0aUYNjrtMccx3pG+Y53cEreTrg/fffxyuvvPLIc1q2bFmrx3Z1dQUApKamws3NTXU8NTUVgYGBtXpMXVDT18zV1bXS5OCysjJkZmaqXpua6NKlCwDg2rVraNWqlcbx6rLGjRtDJpMhNTVV7Xhqamq1r5Grq6tG5xui2rxuDzM1NUVQUBCuXbvWECEahOo+a7a2tryKp2eY6zTHXFd/mOs0xzynHQ2V51jk6QAnJyc4OTk1yGO3aNECrq6uOHTokCrR5ebm4syZMxqtWqZravqaBQcHIzs7GxEREejYsSMA4PDhw1AoFKpkVhNRUVEAoPbHg6EwMzNDx44dcejQIQwdOhQAoFAocOjQIbz99ttVtgkODsahQ4cwbdo01bEDBw4gODhYCxHrhtq8bg+Ty+WIjo7GwIEDGzBS/RYcHFxpyXJj+6wZCuY6zTHX1R/mOs0xz2lHg+W5Oi3bQlp3+/ZtITIyUpg7d65gbW0tREZGCpGRkUJeXp7qnDZt2ghbt25V/fz1118L9vb2wo4dO4RLly4Jzz33nNCiRQuhsLBQjF9B65555hkhKChIOHPmjHDixAnB29tbGDVqlOr+u3fvCm3atBHOnDkjCIIgXLt2Tfjss8+E8+fPCzdv3hR27NghtGzZUnjqqafE+hUa3KZNmwRzc3Nh7dq1QmxsrDBp0iTB3t5eSElJEQRBEMaNGyfMmDFDdf7JkycFExMTYf78+UJcXJwwe/ZswdTUVIiOjhbrVxCFpq/b3Llzhf379wvXr18XIiIihJdeekmwsLAQYmJixPoVtC4vL0/1vQVAWLhwoRAZGSncvn1bEARBmDFjhjBu3DjV+Tdu3BCsrKyE6dOnC3FxccLSpUsFmUwm7Nu3T6xfgbSAuU5zzHWPx1ynOeY5zelKnmORp2defvllAUCl25EjR1TnABDWrFmj+lmhUAiffvqp4OLiIpibmwv9+vUTrl69qv3gRZKRkSGMGjVKsLa2FmxtbYUJEyao/aFw8+ZNtdcwMTFReOqppwRHR0fB3Nxc8PLyEqZPny7k5OSI9Btoxw8//CA0a9ZMMDMzEzp37iz8888/qvt69eolvPzyy2rnb968WWjdurVgZmYm+Pn5Cbt379ZyxLpBk9dt2rRpqnNdXFyEgQMHChcuXBAhavEcOXKkyu8w5ev08ssvC7169arUJjAwUDAzMxNatmyp9v1Ghom5TnPMdTXDXKc55jnN6EqekwiCINTtWiARERERERHpCq6uSUREREREZEBY5BERERERERkQFnlEREREREQGhEUeERERERGRAWGRR0REREREZEBY5BERERERERkQFnlEREREREQGhEUeERERERGRAWGRR0REREREZEBY5BERERERERkQFnlEREREREQGhEUeERERERGRAWGRR0RqFi9eDIlEgvj4eNWxnJwc2NraQiKR4NatW6rjd+/ehampKWbNmiVCpERERJpjniNjwCKPiNQ4ODgAAPLy8lTHVqxYgaKiIgBAVlaW6viyZcsgk8nw9ttvazdIIiKiWmKeI2PAIo+I1CiTX25uLgCgpKQES5YswYQJEwAAmZmZAIDCwkKsXLkS48aNg7OzszjBEhERaYh5jowBizwiUvNwD+fGjRuRkZGBjz/+GMB/PZwbN25EZmYmwsLCxAmUiIioFpjnyBiwyCMiNRV7OAVBwPz58zF27Fg0a9YM5ubmquS3ZMkSDBgwAD4+PmKGS0REpBHmOTIGJmIHQES6xdHREUB5D+eePXsQFxeHLVu2AADs7OyQmZmJw4cPIzo6Gt9//72IkRIREWmOeY6MAa/kEZGaisNY5s+fj0GDBql6MW1tbZGVlYXFixcjKCgIffv2FTNUIiIijTHPkTHglTwiUmNhYQELCwscPnwYR48exd9//626z87ODhERETh8+DDWr18vYpRERES1wzxHxkAiCIIgdhBEpFvc3d2RnJyMzp0748yZM6rjffv2xZEjR9C0aVPcuHEDpqamIkZJRERUO8xzZOg4XJOIKlEOZXn//ffVjtvZ2QEA3n33XSY+IiLSW8xzZOh4JY+IiIiIiMiA8EoeERERERGRAWGRR0REREREZEBY5BERERERERkQFnlEREREREQGhEUeERERERGRAWGRR0REREREZEBY5BERERERERkQFnlEREREREQGhEUeERERERGRAWGRR0REREREZEBY5BERERERERkQFnlEREREREQGhEUeERERERGRAfl/9iLTRmaWQqAAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 900x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# what function should we play with?  Defined in the next line.\n",
    "g = lambda w: w**4 + 0.1\n",
    "\n",
    "# run gradient descent \n",
    "w = -1.0; max_its = 10; alpha_choice = 0.1;\n",
    "version = 'full'\n",
    "weight_history,cost_history = gradient_descent(g,alpha_choice,max_its,w,version)\n",
    "\n",
    "# make static plot showcasing each step of this run\n",
    "static_plotter.single_input_plot(g,[weight_history],[cost_history],wmin = -1.1,wmax = 1.1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "a0r7GjrZWuFk"
   },
   "source": [
    "#### <span style=\"color:#a50e3e;\">Example 2. </span> Slow-crawling behavior of gradient descent near saddle points ameliorated via a normalized step"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "mBlC8SktWuFl"
   },
   "source": [
    "Here we illustrate how using a normalized descent step helps gradient descent pass easily by a saddle point of the function\n",
    "\n",
    "\\begin{equation}\n",
    "g(w) = \\text{maximum}(0,(3w - 2.3)^3 + 1)^2 + \\text{maximum}(0,(-3w + 0.7)^3 + 1)^2\n",
    "\\end{equation}\n",
    "\n",
    "that would otherwise halt the standard gradient descent method.  This function - which we saw in Example 6 of [Section 3.7](https://jermwatt.github.io/machine_learning_refined/notes/3_First_order_methods/3_7_Problems.html) - has a minimum at $w= \\frac{1}{2}$ and saddle points at $w = \\frac{7}{30}$ and $w = \\frac{23}{30}$.  Here we use the same number of steps and steplength / learning rate value used previously (which led to the standard scheme halting at the saddle point).  Here however the normalized step - unaffected by the vanishing gradient magnitude - is able to pass easily through the flat region of the saddle point and reach a point of this function close to the mininum."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 297
    },
    "id": "FDVLXgmPWuFl",
    "outputId": "cd8ce55f-0906-4621-d5a7-cae01fd7e2f2"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "g = lambda w: np.maximum(0,(3*w - 2.3)**3 + 1)**2 + np.maximum(0, (-3*w + 0.7)**3 + 1)**2\n",
    "\n",
    "# draw function and gradient descent run\n",
    "demo_1.draw_2d(g=g, w_inits = [0],steplength = 0.01,max_its = 50,version = 'normalized',wmin = 0,wmax = 1.0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "rF6u31hdWuFl"
   },
   "source": [
    "#### <span style=\"color:#a50e3e;\">Example 3. </span> Slow-crawling behavior of gradient descent in large flat regions of a function"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "DDMMSYFwWuFl"
   },
   "source": [
    "Here we use the fully normalized step to minimize\n",
    "\n",
    "\\begin{equation}\n",
    "g(w_0,w_1) = \\text{tanh}(4w_0 + 4w_1) + \\text{max}(0.4w_0^2,1) + 1\n",
    "\\end{equation}\n",
    "\n",
    "initializing our run on a large flat portion of this function.  We saw this example previously in Example 7 of [Section 3.7](https://jermwatt.github.io/machine_learning_refined/notes/3_First_order_methods/3_7_Problems.html) where the standard method was unable to make virtually any progress at all due to the extreme flatness of the area in which we initialize.  Here we use the and steplength / learning rate value used previously (which led to slow-crawling with the standard scheme), but only $100$ steps as opposed to the $1000$ used previously.  Here however the normalized step - unaffected by the vanishing gradient magnitude - is able to pass easily through the flat region of this function and find a point very close to the minimum."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "id": "dR388y5AWuFl"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1100x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# define function\n",
    "g = lambda w: np.tanh(4*w[0] + 4*w[1]) + max(0.4*w[0]**2,1) + 1\n",
    "w = np.array([1.0,2.0]); max_its = 100; alpha_choice = 10**(-1);\n",
    "version = 'full'\n",
    "weight_history_1,cost_history_1 = gradient_descent(g,alpha_choice,max_its,w,version)\n",
    "\n",
    "# plot contour and weight history\n",
    "static_plotter.two_input_surface_contour_plot(g,weight_history_1,view = [20,300],num_contours = 20,xmin = -3,xmax = 3,ymin = -5,ymax = 3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "MPDqeE2AWuFm"
   },
   "source": [
    "## Normalizing out the magnitude component-wise"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "rDTJSLSOWuFm"
   },
   "source": [
    "Remember that the gradient is a vector of $N$ *partial derivatives* \n",
    "\n",
    "\\begin{equation}\n",
    "\\nabla g(\\mathbf{w}) = \\begin{bmatrix} \n",
    "\\frac{\\partial}{\\partial w_1}g\\left(\\mathbf{w}\\right) \\\\\n",
    "\\frac{\\partial}{\\partial w_2}g\\left(\\mathbf{w}\\right) \\\\\n",
    "\\vdots \\\\\n",
    "\\frac{\\partial}{\\partial w_N}g\\left(\\mathbf{w}\\right) \\\\\n",
    "\\end{bmatrix}\n",
    "\\end{equation}\n",
    "\n",
    "with the $j^{th}$ partial derivative $\\frac{\\partial}{\\partial w_j}g\\left(\\mathbf{w}\\right)$ defining how the gradient behaves along the $j^{th}$ coordinate axis.\n",
    "\n",
    "If we then look at what happens to the $j^{th}$ *partial derivative* of the gradient when we normalize off the *full magnitude* \n",
    "\n",
    "\\begin{equation}\n",
    "\\frac{\\frac{\\partial}{\\partial w_j}g\\left(\\mathbf{w}\\right)}{\\left\\Vert \\nabla g\\left(\\mathbf{w}\\right) \\right\\Vert_2} = \\frac{\\frac{\\partial}{\\partial w_j}g\\left(\\mathbf{w}\\right)}{\\sqrt{\\sum_{n=1}^N \\left(\\frac{\\partial}{\\partial w_n}g\\left(\\mathbf{w}\\right)\\right)^2}}\n",
    "\\end{equation}\n",
    "\n",
    "we can see that *the $j^{th}$ partial derivative is normalized using a sum of the magnitudes of every partial derivative*.   If the $j^{th}$ partial derivative is already small in magnitude doing this will erase virtually all of its contribution to the final descent step.  This can be problematic when dealing with functions containing regions that are flat with respect to only some of our weights / partial derivative directions, as it *diminishes* the contribution of the very partial derivatives we wish to enhance by ignoring magnitude."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "S__o5XiAWuFm",
    "variables": {
     "\\sqrt{\\left(\\frac{\\partial}{\\partial w_j}g\\left(\\mathbf{w}^{k-1}\\right)\\right)^2": {}
    }
   },
   "source": [
    "Thus an alternative way to ignore the magnitude of the gradient is to *normalize out the magnitude component-wise*.   So instead of normalizing each partial derivative by the magnitude of the entire gradient, we can normalize each partial derivative with respect to only itself.  Doing this we divide off the magnitude of the $j^{th}$ partial derivative from itself as\n",
    "\n",
    "\n",
    "\\begin{equation}\n",
    "\\frac{\\frac{\\partial}{\\partial w_j}g\\left(\\mathbf{w}\\right)}{\\sqrt{\\left(\\frac{\\partial}{\\partial w_j}g\\left(\\mathbf{w}\\right)\\right)^2}} = \\frac{\\frac{\\partial}{\\partial w_j}g\\left(\\mathbf{w}\\right)}{\\left|\\frac{\\partial}{\\partial w_j} g\\left(\\mathbf{w}\\right)\\right|} = \\text{sign}\\left(\\frac{\\partial}{\\partial w_j}g\\left(\\mathbf{w}\\right)\\right)\n",
    "\\end{equation}\n",
    "\n",
    "So in the $j^{th}$ direction we can write this component-normalized gradient descent step as\n",
    "\n",
    "\\begin{equation}\n",
    "w_j^k = w_j^{k-1} - \\alpha \\, \\frac{\\frac{\\partial}{\\partial w_j}g\\left(\\mathbf{w}^{k-1}\\right)}{{\\sqrt{\\left(\\frac{\\partial}{\\partial w_j}g\\left(\\mathbf{w}^{k-1}\\right)\\right)^2}}}.\n",
    "\\end{equation}\n",
    "\n",
    "or equivalently as \n",
    "\n",
    "\\begin{equation}\n",
    "w_j^k = w_j^{k-1} - \\alpha \\, \\text{sign}\\left(\\frac{\\partial}{\\partial w_j}g\\left(\\mathbf{w}^{k-1}\\right)\\right).\n",
    "\\end{equation}\n",
    "\n",
    "\n",
    "We can then write the entire component-wise normalized step can be similarly written as e.g.,\n",
    "\n",
    "\\begin{equation}\n",
    "\\mathbf{w}^k = \\mathbf{w}^{k-1} - \\alpha \\, \\text{sign}\\left(\\nabla g\\left(\\mathbf{w}^{k-1}\\right)\\right)\n",
    "\\end{equation}\n",
    "\n",
    "where here the $\\text{sign}\\left( \\cdot \\right)$ acts component-wise on the gradient vector.  We can then easily compute the length of a single step of this omponent-normalized gradient descent step (provided the partial derivatives of the gradient are all non-zero) as\n",
    "\n",
    "\n",
    "\\begin{equation}\n",
    "\\left\\Vert \\mathbf{w}^{\\,k} - \\mathbf{w}^{\\,k-1} \\right\\Vert_2 = \\left\\Vert \\left(\\mathbf{w}^{k-1} - \\alpha \\, \\text{sign}\\left(\\nabla g\\left(\\mathbf{w}^{k-1}\\right)\\right)\\right)  - \\mathbf{w}^{\\,k-1} \\right\\Vert_2  = \\left\\Vert -\\alpha \\, \\text{sign}\\left(\\nabla g\\left(\\mathbf{w}^{k-1}\\right)\\right)  \\right\\Vert_2  = \\sqrt{N} \\, \\alpha\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "_TaUgYh1WuFm"
   },
   "source": [
    "In other words, if we normalize out the magnitude of gradient component-wise at each step of gradient descent then the length of each step *is exactly equal to the value of our steplength / learning rate parameter* $\\alpha$\n",
    "\n",
    "\\begin{equation}\n",
    "\\text{length of component-normalized gradient descent step:} \\,\\,\\,\\, \\sqrt{N}\\,\\alpha.\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "jqQ2M_PWWuFn",
    "variables": {
     "\\sqrt{\\left(\\frac{\\partial}{\\partial w_j}g\\left(\\mathbf{w}^{k-1}\\right)\\right)^2} ": {}
    }
   },
   "source": [
    "Notice then that if we slightly re-write the $j^{th}$ component-normalized step $w_j^k = w_j^{k-1} - \\alpha \\, \\frac{\\frac{\\partial}{\\partial w_j}g\\left(\\mathbf{w}^{k-1}\\right)}{{\\sqrt{\\left(\\frac{\\partial}{\\partial w_j}g\\left(\\mathbf{w}^{k-1}\\right)\\right)^2} }}$ equivalently as \n",
    "\n",
    "\\begin{equation}\n",
    "w_j^k = w_j^{k-1} - \\frac{\\alpha}{\\sqrt{\\left(\\frac{\\partial}{\\partial w_j} g\\left(\\mathbf{w}^{k-1}\\right)\\right)^2} } \\, \\frac{\\partial}{\\partial w_j}g\\left(\\mathbf{w}^{k-1}\\right).\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "ko4JNG5ZWuFn"
   },
   "source": [
    "\n",
    "we can interpret our component normalized step as a standard gradient descent step with an individual steplength / learning rate value $\\frac{\\alpha}{\\sqrt{\\left(\\frac{\\partial}{\\partial w_j} g\\left(\\mathbf{w}^{k-1}\\right)\\right)^2}}$ per component that all *adjusts themselves individually at each step based on component-wise magnitude of the gradient to ensure that the length of each step is precisely $\\sqrt{N} \\, \\alpha$*.  Indeed if we write \n",
    "\n",
    "\\begin{equation}\n",
    "\\mathbf{a}^{k-1} = \\begin{bmatrix} \n",
    "\\frac{\\alpha}{\\sqrt{\\left(\\frac{\\partial}{(\\partial w_1} g\\left(\\mathbf{w}^{k-1}\\right)\\right)^2}}  \\\\\n",
    "\\frac{\\alpha}{\\sqrt{\\left(\\frac{\\partial}{\\partial w_2} g\\left(\\mathbf{w}^{k-1}\\right)\\right)^2}}  \\\\\n",
    "\\vdots \\\\\n",
    "\\frac{\\alpha}{\\sqrt{\\left(\\frac{\\partial}{\\partial w_N} g\\left(\\mathbf{w}^{k-1}\\right)\\right)^2}}  \\\\\n",
    "\\end{bmatrix}\n",
    "\\end{equation}\n",
    "\n",
    "\n",
    "then the full component-normalized descent step can also be written as \n",
    "\n",
    "\n",
    "\\begin{equation}\n",
    "\\mathbf{w}^{\\,k} = \\mathbf{w}^{\\,k-1} - \\mathbf{a}^{k-1} \\odot \\nabla g(\\mathbf{w}^{\\,k-1})\n",
    "\\end{equation}\n",
    "\n",
    "where the $\\odot$ symbol denotes component-wise multiplication.   Again note that this is indeed equivalent to the previously written version of the full component-normalized gradient $\n",
    "\\mathbf{w}^k = \\mathbf{w}^{k-1} - \\alpha \\, \\text{sign}\\left(\\nabla g\\left(\\mathbf{w}^{k-1}\\right)\\right)$.  However note in practice if implemented as shown in equation (20) a small $\\epsilon > 0$ is added to the denominator of each value of each entry of $\\mathbf{a}^{k-1}$ to avoid division by zero. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "vTrGKthXWuFn"
   },
   "source": [
    "#### <span style=\"color:#a50e3e;\">Example 4. </span> Minimizing a function with a flat region along only one dimension"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "UI3G0PcQWuFn"
   },
   "source": [
    "In this example we use the function\n",
    "\n",
    "\\begin{equation}\n",
    "g(w_0,w_1) = \\text{max}\\left(0,\\text{tanh}(4w_0 + 4w_1)\\right) + \\text{max}(0,\\text{abs}\\left(0.4w_0\\right)) + 1\n",
    "\\end{equation}\n",
    "\n",
    "to show the difference between fully and component normalizated steps on a function that has a very narrow flat region along only a single dimension of its input.  Here this function - whose surface and contour plots can be seen in the left and right panels below respectively - is very flat along the $w_1$ direction for any fixed value of $w_0$, and has a very narrow valley leading towards its minima the $w_1$ dimension where $w_0 = 0$.  If initialized at a point where $w_1 > 2$ this function cannot be minimized very easily using standard gradient descent *or* the fully-normalized version.  In the latter case, the magnitude of the partial derivative in $w_1$ nearly zero everywhere, and so fully-normalizing makes this contribution smaller and halts progress.  Below we show the result of $1000$ steps of fully-normalized gradient descent starting at the point $\\mathbf{w}^0 = \\begin{bmatrix} 2 \\\\ 2 \\end{bmatrix}$, colored green (at the start of the run) to red (at its finale).  As can be seen, little progress is made because the *dircection* provided by the partial derivative in $w_1$ could not be leveraged properly."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "id": "yFnsNivfWuFn"
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1100x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# define function\n",
    "g = lambda w: np.max(np.tanh(4*w[0] + 4*w[1]),0) + np.max(np.abs(0.4*w[0]),0) + 1\n",
    "w = np.array([2.0,2.0]); max_its = 1000; alpha_choice = 10**(-1);\n",
    "version = 'full'\n",
    "weight_history_1,cost_history_1 = gradient_descent(g,alpha_choice,max_its,w,version)\n",
    "\n",
    "# plot contour and weight history\n",
    "static_plotter.two_input_surface_contour_plot(g,weight_history_1,view = [20,280],num_contours = 24,xmin = -3,xmax = 3,ymin = -2,ymax = 3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "6d7LEYijWuFo"
   },
   "source": [
    "In order to make significant progress from this initial point a gradient descent method needs to enhance the minute sized partial derivative in the $w_1$ direction, and one way to do this is via the component-normalization scheme.  Below we show the results of using this version of normalized gradient descent starting at the same initialization and employing the same steplength / learning rate.  Here we only need $50$ steps in order to make significant progress."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "id": "Y9mh3ooyWuFo"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1100x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# define function\n",
    "g = lambda w: np.max(np.tanh(4*w[0] + 4*w[1]),0) + np.max(np.abs(0.4*w[0]),0) + 1\n",
    "\n",
    "w = np.array([2.0,2.0]); max_its = 50; alpha_choice = 10**(-1);\n",
    "version = 'component'\n",
    "weight_history_1,cost_history_1 = gradient_descent(g,alpha_choice,max_its,w,version)\n",
    "\n",
    "# plot contour and weight history\n",
    "static_plotter.two_input_surface_contour_plot(g,weight_history_1,view = [20,280],num_contours = 24,xmin = -3,xmax = 3,ymin = -2,ymax = 3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "3Wbo_UHrWuFo"
   },
   "source": [
    "##  General usage of normalized gradient descent schemes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "xy56SVH8WuFo"
   },
   "source": [
    "Normalizing out the gradient magnitude - using either of the approaches detailed above - ameliorates the 'slow crawling' problem of standard gradient descent and empowers the method to push through flat regions of a function with much greater ease.  This includes flat regions of a function that may lead to a local minimum, or the region around a saddle point of a non-convex function where standard gradient descent can halt.  However - as mentioned in [Section 3.7](https://jermwatt.github.io/machine_learning_refined/notes/3_First_order_methods/3_7_Problems.html) - in normalizing every step of standard gradient descent we do *shorten* the first few steps of the run that are typically large (since random initializations are often far from stationary points of a function).  This is the trade-off of the normalized step when compared with the standard gradient descent scheme: we trade shorter initial steps for longer ones around stationary points."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "vQuPsbgYWuFo"
   },
   "source": [
    "#### <span style=\"color:#a50e3e;\">Example 5.</span>  Normalized vs. unnormalized gradient descent for convex functions "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "3Q1TRv7eWuFo"
   },
   "source": [
    "In this Example we compare fully-normalized and standard gradient descent (left and right panels respectively) on the simple quadratic function\n",
    "\n",
    "\\begin{equation}\n",
    "g(w)=w^2\n",
    "\\end{equation}\n",
    "\n",
    "Both algorithms use the same initial point ($w^0 = -3$), steplength parameter ($\\alpha = 0.1$), and maximum number of iterations (20 each). Steps are colored from green to red to indicate the starting and ending points of each run, with circles denoting the actual steps in the input space and 'x' marks denoting their respective function evaluations.  \n",
    "\n",
    "Notice how - due to the re-scaling of each step via the derivative length - the standard version races to the global minimum of the function. Meanwhile the normalized version - taking constant length steps - gets only a fraction of the way there. This behavior is indicative of how a normalized step will fail to leverage the gradient when it is large - as the standard method does - in order to take larger steps at the beginning of a run."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 297
    },
    "id": "Ojx8l0R2WuFp",
    "outputId": "971d6782-15c8-49d6-8514-ae58e4c55456"
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 900x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# what function should we play with?  Defined in the next line.\n",
    "g = lambda w: w**2\n",
    "\n",
    "# # run the visualizer for our chosen input function, initial point, and step length alpha\n",
    "# demo = optlib.gradient_descent_demos.visualizer();\n",
    "demo_2.compare_versions_2d(g=g, w_init = -3,steplength = 0.1,max_its = 20)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "7szhUmrRWuFp"
   },
   "source": [
    "##  Normalized steps with respect to vector norms*"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "ndw_88xiWuFp"
   },
   "source": [
    "The normalized and component-normalzied gradient descent steps described above can be thought of in a unified framework, as *gradient descent directions with respect to different vector norms*.  More specifically, while we saw how the *normalized* step described above is normalized with respect to the $\\ell_2$ norm we will see here that the component-normalized step is similarly *normalized* with respect to the $\\ell_{\\infty}$ vector norm (see the book's appendix for additional information about vector norms)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "J9DeGrd5WuFp"
   },
   "source": [
    "### Steepest descent direction in the $\\ell_2$ norm"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "xbTpeTW_WuFp"
   },
   "source": [
    "When first deriving the gradient descent direction of a multi-input function $g(\\mathbf{w})$ at a point $\\mathbf{v}$ we began by examining the tangent hyperplane to $g$ at this point\n",
    "\n",
    "\\begin{equation}\n",
    "h\\left(\\mathbf{w}\\right)=g\\left(\\mathbf{v}\\right)+\\nabla g\\left(\\mathbf{v}\\right)^{T}\\left(\\mathbf{w}-\\mathbf{v}\\right)\n",
    "\\end{equation} "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "N-l3LoCNWuFp"
   },
   "source": [
    "We then reasoned out that since in general we know that the *ascent* direction on a hyperplane is given by its set of 'slopes' - stored in $\\nabla g(\\mathbf{v})$ -  that intuitively therefore the descent direction is given by the negative gradient as $-\\nabla g(\\mathbf{v})$.  In this Section we further reasoned that we can - in desiring only the *direction* provided by the negative gradient - just as well u normalize it to have unit length as $-\\frac{\\nabla g(\\mathbf{v})}{\\left\\Vert \\nabla g(\\mathbf{v}) \\right\\Vert_2}$. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "UfIpce6EWuFp"
   },
   "source": [
    "This normalized descent direction can also be derived as follows.  Note that $\\mathbf{d} = \\mathbf{w} - \\mathbf{v}$ is a general search direction centered at the point $\\mathbf{v}$.  We want to find the unit-length direction $\\mathbf{d}$ that provides the smallest evaluation on the hyperplane, i.e., the one that gives the smallest value $g(\\mathbf{v}) + \\nabla g(\\mathbf{v})^T(\\mathbf{w} - \\mathbf{v}) = g(\\mathbf{v}) + \\nabla g(\\mathbf{v})^T\\mathbf{d}$.  Since $\\mathbf{d}$ is only present in the second term we only need care about finding the unit length direction $\\mathbf{d}$ so that $\\nabla g(\\mathbf{v})^T\\mathbf{d}$ is as small as possible (after all, $g(\\mathbf{v})$ is constant).\n",
    "\n",
    "Formally this is a simple constrained minimization problem"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "dnGmsijlWuFp"
   },
   "source": [
    "\\begin{equation}\n",
    "\\begin{array}{cc}\n",
    "\\underset{\\mathbf{d}}{\\text{minimize}} & \\nabla g(\\mathbf{v})^{T}\\mathbf{d}\\\\\n",
    "\\text{subject to} & \\left\\Vert \\mathbf{d}\\right\\Vert _{2}=1\\\\\n",
    "\\end{array}\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "jCG51CKuWuFq"
   },
   "source": [
    "In the figure below explore possible solutions to this problem in two dimensions for a particular choice of gradient vector, gaining valuable geometric intuition as to what the solution should be.  There we plot an example gradient vector $\\nabla g (\\mathbf{v})$ as a red arrow, along with the $\\ell_2$ unit ball. Moving the slider from left to right you can test various directions $\\mathbf{d}$ (each shown as a black arrow) on this $\\ell_2$ unit ball computing the inner product $\\nabla g(\\mathbf{v})^{T}\\mathbf{d}$, whose value is simultaneously plotted in the right panel.  As you move the slider right the direction providing the *smallest* value is shown as a green arrow in the left panel, and is highlighted in green in the plot in the right panel.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 531
    },
    "id": "C2HBwlxyWuFq",
    "outputId": "ea9ab432-3126-4965-9875-003bc4386e55"
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/jeremywatt/Desktop/machine-learning-refined/venv/lib/python3.10/site-packages/IPython/core/events.py:82: UserWarning: This figure includes Axes that are not compatible with tight_layout, so results might be incorrect.\n",
      "  func(*args, **kwargs)\n",
      "/Users/jeremywatt/Desktop/machine-learning-refined/venv/lib/python3.10/site-packages/IPython/core/pylabtools.py:170: UserWarning: This figure includes Axes that are not compatible with tight_layout, so results might be incorrect.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n"
     ]
    },
    {
     "data": {
      "image/png": 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79rBnzx6GDh1KyZIlEwqN9evX19pRIiIiIiIi4lAOLS6++OKLmM3mJPsXLVpk85zffvvNgalE5FFdv36d77//no0bN7J7926MRuNDn+vp6Um1atWoXbs2tWrVolatWtqdLhGDwZAwzbtFixZAfMHxwoULHD16lCNHjvDTTz/x22+/pTiF5eLFi3z99dd8/fXX+Pj40KRJE9q2bUvLli3Jnj27M74dERERERERyUTS1JqLIpJ23Lx5k1WrVvHtt99y+PDhhz7P09OT2rVr89JLL/HCCy9QrVo1rQmYCgaDgVKlSlGqVCk6dOgAQEhICD/99FPCtOiUio33799nw4YNbNiwAW9vb15++eWEQqOfn5+zvhURERERERHJwFRcFJEEYWFhrF+/nhUrVrBr1y5MJtNDnffMM8/QqFEjGjVqRL169bTbooPkzJmTFi1aJNzdGBISwr59+9i6dStbtmzh2rVrSZ4bHR3Nxo0b2bhxI97e3jRt2pSuXbvSrFkz7RQoIiIiIiIiqabiokgmZzKZ2LlzJwsXLuT7778nKioqxXO8vLxo0KABrVu3pkWLFhQuXNgJSSWxnDlz0rp1a1q3bo3ZbObEiRNs2bKFH374gUOHDiV5V2N0dHTCHY158+alU6dOdOvWjUqVKjn3GxARERHJoG7fvk3evHkfamzjxo3Zvn27gxOJiDiOiosimdS1a9dYsGAB8+fP5/LlyymOz5EjB82aNaN169a8/PLLmlabxhgMBipUqECFChUYOXIkt2/f5vvvv2fNmjXs3LkzyV28b926xdSpU5k6dSoVKlSgW7dudOnShTx58jj5OxARERHJWJYuXWpxPHr0aG7cuMGcOXMs2kuXLu3MWCIidqfiokgmEhsby7Zt25gzZw5btmxJcXOQbNmy0bp1azp27MhLL72k6bPpSJ48eejevTvdu3fn7t27bNy4MaHQmNSGPH/88QeDBw9m1KhRvPHGG/Tv359q1ao5ObmIiIhI+pcnTx46d+6ccGw2m+nfvz/PPvusRbuISEbg5uoAIuJ49+7dY9KkSTz55JO0bNmSTZs2JVlY9PDwoHnz5qxYsYLg4GCWLVumdfnSuVy5ctGtWze2bNlCcHAwc+fOpU6dOkmOj4qKYtGiRTz33HPUqFGDJUuWPNR0eRERERGx7cKFC4SGhlK5cmVXRxERsTsVF0UysPPnzzNw4ECKFCnC0KFDk53+XKlSJWbMmEFQUBCbN2+mQ4cOZMuWzYlpxRly5cpFr169OHDgAGfOnOHDDz+kaNGiSY4/evQoXbt2pWjRonz44YcEBwc7Ma2IiIhI6n344YcYDAa+/PJLuz/3yy+/jMFgYM+ePQ81/rfffgOwyxrX3bp1w2AwJDxefPHFx35OEZHHoeKiSAZjNpvZv38/rVu35qmnnmLatGmEh4fbHOvr60vv3r355ZdfOH78OP3793/ohacl/Xvqqaf49NNPuXTpErt27aJDhw54enraHHvr1i0+//xzihcvTr9+/Th37pyT04qIiEhaFRcXR4kSJSwKXo/6eOutt+ya6Z9//uGrr74iX758DBgwwK7PDfDJJ58AMHTo0BSXGgIIDAwE7FNcFBFJa1RcFMkgzGYzO3bsoF69erzwwgts3LgRs9lsc2zVqlWZM2cO169fZ86cOVSrVg2DweDkxJJWuLm50bBhQ1asWMHVq1f57LPPKFKkiM2x0dHRzJ49m9KlS9OuXTuOHTvm5LQiIiKS1ri5udGzZ8/Heo7evXvbKU28Dz74gPv37zN8+HCHzMZ5/vnnadKkCb/99hvLli1LcXxgYCBubm5UqFDB7llERFxNxUWRdM5sNrNp06aENzg//fSTzXFubm60bduWgwcP8ssvv9C7d2+yZ8/u5LSS1vn7+/PBBx9w8eJF1q1bR8OGDW2Oi4uLY82aNTz33HM0atSIQ4cOOTmpiIiIpCU9evTA3d0diN8V+fTp0yk+6tWrB0DFihXtuonctWvXWL58OV5eXvTo0cNuz5tY3759ARg/fnyKYwMDA3nqqafImjWrw/KIiLiKiosi6VRcXBzr1q2jSpUqtGrViqNHj9oc5+fnx5AhQ7hw4QKrV6+mVq1auktRUuTh4cGrr77Krl27OHnyJD169EhyyvSuXbuoXbs2TZs25ZdffnFyUhEREUkLChcuTNOmTQHYvXs3ZcqUSfaRO3duDh8+DNj/rsW5c+diMplo1qwZuXPntutz/9eD5z958iQHDx5MctytW7e4du2apkSLSIal4qJIOrRr1y6qV6/O66+/nrB+S2JFixZl6tSp/PPPP0ycOJHixYs7N6RkGOXKlWP+/PlcvHiRYcOGJXnH67Zt26hevTqtWrVK8udSREREMq4HRcKDBw/y999/Jzt2yZIlGI1GfHx86NSpk80xO3fu5NVXXyV//vz4+Pjw7LPPMmPGDMxmM1OmTMFgMFjtvmw2m5k/fz4AHTt2tHrOqVOnWqz16O/vj8lksvn6Xbt2tRjboEEDi34vLy9ef/11AObMmZPk9/qo6y3GxsYyffp0qlatSrZs2ciVKxf169dn7dq1D3W+iIizqbgoko4cO3aMl156iUaNGvHrr7/aHPPEE08wb948zp07x7vvvqupz2I3hQsXZvz48Vy5coUvvviCAgUK2By3adMmKleuTJs2bTh79qyTU4qIiIirNG/enEKFCgGwYMGCZMc+6G/Tpg05c+a06IuNjaVPnz40btyYDRs2cOvWLby9vfnzzz955513eOuttzh9+jQAVapUsTj3zz//5J9//gGgbt26Vq/buXNnvLy8Eo5v3rzJrl27rMZFRUWxfv16izZb60o+mNq9ffv2JL/XRykuRkRE0LhxY959912OHz9OZGQkISEh7Nu3j7Zt29KnT58k11UXEXEVFRdF0oEzZ87Qrl07nnvuOXbv3m1zTJkyZVi6dCl///03PXv2tHjTJGJPOXPmZMSIEVy8eJEpU6bg7+9vc9x3333HM888w6BBg7hz546TU4qIiIizubu7061bNyD+zsTY2Fib4w4fPpxQHLQ1JXrEiBHMnTuXLFmyMHHiRO7cuUNISAg3btygQ4cOzJ07lw0bNgBY3bm4f/9+IH4Wj60PQvPkyUOrVq0s2lasWGE1btOmTYSFhSUc58iRg9dee81qXI0aNQAIDg7mr7/+svn9PkpxsX///uzduzfJ/rlz5+oORhFJczxcHUBEkhYSEsK8efPYunVrktM1SpcuzdixY3n99dcTFtEWcYYsWbIwcOBAevfuzcyZM/nyyy+5deuWxRij0cjUqVNZvHgxo0aNomTJki5KKyIikjq9e/fmzz//dHUMhyhfvjxz586163P27NmTgIAAbty4wQ8//GBVyAMSpi2XLl3a6u7CHTt28NVXX2EwGNiwYQNNmjRJ6PP392fx4sUcPXqU8+fPA9Z3Lh45cgSI3yQmuYz/LdCtX7+eb775hixZsiS0ffvttxbndOzYER8fH6vneuqpp/D19SU8PJzDhw9TpkwZqzGBgYH4+/snOevjgRMnTrB48WKLtnz58jFp0iQqVarEn3/+yZAhQwgKCkr2eUREnE3FRZE0yGQysWDBAkaNGmVVrHmgcOHCjBkzhq5du+Lhof+UxXWyZs3K0KFDeeutt5g+fToTJ07k7t27FmNCQkIYPnx4wrpG7dq108ZCIiKSLvz555/8/PPPro6RbjzxxBM0bNiQXbt2sWDBAqviYnh4OKtWrQKgV69eVuePGjUKgLffftuisPiAp6cnjRs3ZtasWbi5uVkVEa9fvw7EF+WS0rhxY4oUKZIwfTosLIxNmzbRtm1bAO7du8cPP/xgcU5yu07nyZOH8PDwhNdO7GGL08uWLbNq++677xIKsM8++yylS5ematWqD/V8IiLOomnRImnMwYMHqV69On369LFZWMyVKxfjx4/n7Nmz9OzZU4VFSTOyZ8/OqFGjuHDhAsOGDbM5NT84OJg33niDpk2bcu7cORekFBEREUd7MNV5y5YtBAcHW/StXr2a8PBwvLy86Nq1q0XfoUOH+PXXX3F3d2fEiBFJPn/BggUBePrpp8mWLZtF37///guQ7C7Rbm5uVq/936nR3333HdHR0QnHFSpUoFq1akk+34PXevDaqfXgrssHnnzySas7O6tUqaJdp0UkzVFxUSSNCA4OpnPnztSpU4fjx49b9Xt7e/P+++8nFG5sTcsQSQty5szJ+PHj+euvv2jfvr3NMdu3b6d8+fJ88sknREVFOTmhiIiIOFLr1q3JmzcvsbGxLFmyxKLvwZToVq1aWd1duHnzZgCqVatG0aJFk3z+e/fuAdbrLQIJ7yu8vb2TzdijRw+LWRRbt24lJCQEsF6DMbm7FoGE9+WP+54mcSE2qeVktMyMiKQ1Ki6KuJjZbGbBggWULVuW5cuX2xzzyiuvcOrUKQICAqx20xNJq0qWLMnKlSs5fPgwNWvWtOqPjo5mzJgxlC9fnq1bt7ogoYiIiDjCf+9K/O+u0X/99ReHDh0CbG/k8ttvvwEke5cg/G+aceL1FiF+ijJgtURLYk888QQvvPBCwnF0dDRr167lxo0b7Nu3z+J76dy5c7LP9WDjugevnVraBVpE0ivNpxRxobNnz/LWW28luSNc2bJleeONNxg5ciSenp5OTidiH88//zwHDx5kxYoVvPvuu1Y7R58/f55mzZrRtm1bZsyYQf78+V2UVERExFr58uVdHcFhHPm99erVi0mTJiUUFGvVqpVQaCxRogSNGjWyOufGjRtA8lOa7927l7AjtK07Fx/cDZn4/YYtPXr0sCgkrlixgoiICIuNFFu3bp1i0fDBayW3zuPD8Pf35++//044vnjxos1xSbWLiLiKiosiLmA0GpkwYQJjx461WM/lgRw5cjBmzBh69+7Nzp07XZBQxL4MBgPt2rXDzc2NI0eOMGPGDKsd0NesWcOePXuYMWMG7du314YvIiKSJth7N+XMokyZMtSpU4effvqJ+fPnU7169YQp0omnJD/g5hY/sS7x9OD/mjp1Kvfv3wdsFxfLlSvH999/z4ULF1LM2KZNGwYMGEBoaCgAP/74I9euXbMYk9KU6LCwsIR10suWLZviayanRo0aCYVTgHPnznHgwAGLdRePHz9OYGDgY72OiIi9aVq0iJOdOHGC5557jg8++MBmYfGNN97g77//ZuDAgbpbUTKcrFmzMmHCBH799Vdq1apl1X/79m06dOjA66+/nnD3goiIiKRPD6Y+r169mpUrVxIcHIy7u3uSBbunnnoKgJ07d2I0Gq36f/rpJ8aNGwdA8eLFbd7hWK9ePQB+//13m++1/8vHx4cOHTokHMfFxXHmzJmE46JFi9q8w/K/jh07RlxcHB4eHtSuXTvZsSmxNf369ddfZ9myZZw4cYKVK1fSokWLx3oNERFHUHFRxElMJhMTJkygWrVq/P7771b9xYoVY8uWLXz77bf4+/u7IKGI81SsWJEDBw4wf/58m1ON1q9fzzPPPMPy5cu1/pCIiEg61bZtW3LmzEl4eDgDBgwA4OWXX6Zw4cI2x7/++utA/LTfrl27JnzQGBYWxrRp03j55ZeJi4sDbK+3CFC7dm08PDyIiYl5qDv8krszsVu3bgl3UyblwQ7PVapUwdfXN8XXS06FChWsCoz//vsvb775JhUqVKBDhw4EBQXh4aEJiCKStqi4KOIEFy9epH79+gwfPpyYmBiLPjc3NwYNGsTJkydp1qyZixKKOJ+bmxs9evTg5MmTCX9M/NedO3fo3Lkzbdu2fah1k0RERCRt8fHxoVOnTsD/dni2tZHLA23atKFp06YAfPvttxQsWJAcOXKQI0cOBg4cSMuWLWnSpAkQv6azLX5+fjRv3hyA77//PsWM1atX55lnnrFqNxgMdO/ePcXzH7xGx44dUxz7MGbNmpVw96UtrVu3pn379nZ5LRERe1FxUcSBzGYz8+fPp0KFChw4cMCqv3z58vz8889Mnjz5sT/pFEmv/P39Wbt2LatXryZv3rxW/d999x0VK1a0WHBdRERE0ofevXvj7e2Nt7c3xYoVSyj82WIwGFi/fj2jR4/miSeewNPTEx8fH1q0aMHmzZtZsGABP/74IwANGjRI8nneeustIH6DloeZAdGzZ0+rtvr161OyZMlkz7tw4QKHDx/Gx8eHLl26pPg6D8PX15fdu3czZcoUKleujI+PD35+ftSsWZN58+axbt063bkoImmOiosiDhISEkKbNm3o1asX4eHhFn0Gg4Fhw4Zx7NgxnnvuORclFElb2rZty6lTp2x+Gv/PP//QoEEDPvjgA5trMImIiEjaVLFiRaKiooiKiuLy5cspFsa8vb0ZM2YM58+fJyYmhhs3bvD999/TvHlzvv32W8LCwihbtizVqlVL8jmaNGlCqVKluHTpks0P+BN77733MJvNFo/du3eneN6yZcuA+DXTc+XKleL4h+Xh4cHAgQM5fvw4kZGR3Lt3j0OHDtGzZ08MBgOLFi2yyKoPYEXE1VRcFHGAX375hSpVqrBu3TqrvhIlSvDjjz8yfvx4vL29XZBOJO3Kly8fK1euZO3atVZrMZrNZsaNG0edOnU4f/68ixKKiIiIK5w4cYKBAwcCMGrUqGTHurm58emnnwLwxRdfOCRPREQE06dPx9vbm48//tghryEikl6ouChiR2azmSlTplC7dm0uXrxo1d+rVy/++OMP6tat64J0IunH66+/zh9//EHDhg2t+o4ePUrlypX57rvvXJBMREREHKVr166sXr2a27dvJ7TduHGDKVOmUK9ePcLDw3nllVds7qqc2BtvvEH16tXZunUrR48etXvWGTNmcOvWLd59912KFy9u9+cXEUlPtFiDiJ3cvXuX7t27s3HjRqu+PHnysGDBAlq1auWCZCLpU6FChdixYweTJk1i1KhRxMbGJvSFhYXRpk0bhg4dSkBAgNYeEhERSefCwsJYunQpS5YsASBr1qx4enombAQD8ZumzJs376Gez2Aw8M0337Bhwwb+/fdfu+fNli0bn3zyCYMGDbL7c4uIpDf6a0zEDn7//Xdat27NpUuXrPpq167Nt99+S9GiRZ0fTCSdc3NzY9iwYdSvX5+OHTty9uxZi/6JEyfyyy+/sHLlSgoUKOCilCIiIvK4DAYDAQEBbN++nXPnzvHvv/8SExNDqVKlqF27Nj169OCFF154pOesVKkSlSpVckjeAQMGOOR5RUTSIxUXRR7TqlWr6N69O/fv37fqe//99xk7diyenp4uSCaScVSrVo3jx4/z9ttvs3TpUou+H3/8kSpVqrBmzRpq167tooQiIs4VFxfH9evXyZ49OwaDwdVx0rWYmBji4uIwmUyYTCZXx8m0fHx8GDp0KEOHDk1yjP7/8/hMJhNxcXGEh4cTExPj6jgikoaZzWbCwsIoVKgQbm7Jr6qo4qJIKplMJj788EObi0TnzZuXJUuW0LRpUxckE8mYfH19Wbx4MbVq1eLdd9+12DU6KCiIF198kWnTptGvXz8XphQRcY7r169rVoSdFC9enNmzZ9v8oFgkI7p16xbNmzfn8uXLro4iIunA1atXKVKkSLJjVFwUSYWQkBA6duzI1q1brfqef/551qxZk+J/fCLy6AwGA3379qVKlSq0adOGq1evJvTFxsby9ttvc/r0ab766iutwygiGVr27NmB+Df8fn5+Vv0REREUKlQIgMuXL5MzZ05nxktXYmJiCA4OpkSJEmTJksXmGLPZzL1798iRI4fuFH1Mupb2k5prGRUVxaVLlzh27BheXl4OTph+GI1GduzYQePGjTXr7DHpWtqPq69laGgoRYsWTXjPkRz95SXyiM6ePUuLFi04c+aMVV+vXr2YMWMG3t7eLkgmknlUr16d48eP07FjR3bu3GnRN336dM6cOcOqVavIkSOHixKKiDjWg0KCn5+fzeKiu7t7wtdJjZF4UVFR/Pvvv7i7u1tct/+Ki4vD3d0dNze3FKeGSfJ0Le0nNdfywXhfX98ki+mZkdFoJGvWrPj5+akg9ph0Le0nrVzLh/nwQsVFkUdw8OBBXnnlFW7fvm3R7uHhwdSpU+nXr58+gRVxkrx587J161ZGjx7NuHHjLPq2b99OzZo12bRpE6VKlXJRwswhNjYWo9GI0WgkJiYm4evUHKfmnEaNGtG9e3dXXwYRERERkUxLxUWRh7RmzRrefPNNoqOjLdrz5cvH2rVrqVevnouSiWRe7u7ufP7555QrV46ePXta/Pd5+vRpatSowfr166lbt64LU2ZsvXv3ZtGiRQ57fh8gB5Dz///3weMkcDlbNr788kuHvbaIiIiIiKRMxUWRFJjNZiZNmsSwYcOs+ipVqsTGjRspVqyYC5KJyAOdOnXiiSeeoHXr1ty8eTOh/fbt2zRq1IiVK1fSunVr1wXMwMaNG8fatWsJDw+36vPEdmEw50N8/eDY1gSQG0A5YPTo0drQQkRERETExVRcFEmGyWTi3XffZebMmVZ9zZo1Y9WqVfj6+rogmYgkVrNmTY4ePUrLli05ceJEQnt0dDSvv/46s2bNok+fPi5MmDEVLFiQDz74gJEjR7IYqM7/CoM+DnrNfkCBsmUZNGiQg15BREREREQellbQFUlCdHQ07du3t1lYfOutt9i4caMKiyJpTPHixTl48CAtWrSwaI+Li+Ott97i008/xWw2uyhdxjVo0CCeeOIJVgFlgII4rrC4EtgAzJw5U7tciohd6d8HyQz0cy4ijqDioogNERERvPLKK3z33XdWfV9++SWzZs3Cw0M3/oqkRdmzZ2f9+vX07t3bqm/06NEMGDAAk8nkgmQZV5YsWZg0aRI/AFsd+Do3gXeAjh078uKLLzrwlUQkM3mwy67+bZDM4MHPuXbqFhF70m8UkUTu3btHkyZN2L59u0W7l5cXK1euZPjw4doRWiSN8/Dw4JtvvuGjjz6y6ps5cyadOnXCaDS6IFnG9corr9CgQQMGA7EOeo0BQIyfHxMnTnTQK4hIZuTp6Ymnp6fNtWNFMpqwsLCEn3kREXtRcVHkP/7991/q16/PwYMHLdp9fX3Ztm0b7du3d1EyEXlUBoOBsWPHMmPGDKsPBFatWkX79u2JiYlxUbqMx2AwMGXKFM64uTHDAc+/FlgDjB07loIFCzrgFUQkszIYDGTPnp179+5x//59V8cRcZj79+8TGhpK9uzZdbOEiNiV5nWK/L9r167x0ksv8ddff1m058qVi23btlG9enUXJRORx9G/f3/y589P586dLYqJ69ev5/XXX2ft2rV4e3u7MGHG8eyzz9K3b1/GzJxJZyCvnZ73FtAfqFixIv3797fTs4qI/E/evHm5f/8+V65cwc/Pj+zZs+Pu7p5QgImLiyMmJoaoqChNJ31Mupb28zDX0mw2YzKZCAsLIzQ0FG9vb/Lmtde/0CIi8VRcFAGCgoJo0KABZ86csWgvUKAAO3fupHz58i5KJiL20LZtW3Lnzk2rVq2IjIxMaN+8eTOvvPIK69evx8fHUVuQZC5jxoxhxYoVfBgSwmw7Pee7xK+3uH7mTK13KyIO4e7uTtGiRbl16xZhYWGEhIRY9JvNZu7fv4+Pj4/u+HpMupb28yjX0tPTk5w5c5I3b17c3d2dlFBEMgu9Q5dM78aNGzYLi8WLF2fXrl08+eSTLkomIvbUsGFDtm3bRrNmzSzW1dq+fTstWrTg+++/J1u2bC5MmDHkzZuXMWPGMHjgQN4GKjzm820EvgV69OhBrVq1Hj+giAPs37+fCRMm8OuvvxIUFMT69etp3bp1kuP37dtH/fr1rdqDgoIoUKCAA5NKctzd3fH39yd//vwYjUbi4uIS+oxGI/v376devXpaq+4x6Vraz8NeSzc3Nzw9PVXMFRGHUXFRMrWbN2/SsGFDq6nQTz/9NLt376ZIkSIuSiYijlC3bl22b99O06ZNCQ0NTWjfs2cPrVq1YsuWLWTJksWFCTOGFi1aMHDgQAYBex7jee4CfYlfnuKLL76wSzYRR4iIiKBixYr06NGD11577aHP+/vvv/Hz80s4zp8/vyPiuZTZbCY4OJizZ89y9uxZLl++TFBQEDdu3CAkJISwsDAiIiIwmUyYzWbc3d3JmjUrvr6+5M6dG39/fwoUKECJEiUoVaoUTz31FIULF3ZokcRgMODl5WXR5u7uTmxsLFmyZFFB7DHpWtqPrqWIpBUqLkqmdevWLRo2bMipU6cs2p966in27t1LoUKFXJRMRBypVq1a7Ny5kyZNmlhMe9uzZw9t27Zl3bp1eoOeSlFRUTRv3pw9e/bgD+x8zOcbBNwAZgcEkC9fvsfOJ+IoTZs2pWnTpo98Xv78+cmZM6f9A7lQSEgIBw8e5ODBg/z666/89ttv/Pvvv3Z9jdy5c1OxYkWqVq1K7dq1qV27tn5HiIiIuJCKi5Ip3b17l5deeok///zTor1UqVIqLIpkAtWrV2f37t00atSIO3fuJLRv3ryZN998k+XLl2s9okdgNpuZMGECI0aMwBNYD7R+zOf8AVgCPPfcc/Tq1etxI4qkSZUqVSI6Opry5cvzySefULt27STHRkdHEx0dnXD84O5ro9GI0Wi0Gv/ftqTG2IPJZOLIkSNs27aN7du3ExgYiNlsdshrPXDnzh327t3L3r17mThxIgDPPPMMTZo0oXHjxtStW9fuHxI9uH6Ouo6Zia6l/eha2o+upf3oWtqPq6/lo7yuiouS6URGRtKyZUt+//13i/aSJUuyd+9eChcu7KJkIuJMVapUYefOndSvX99iivSqVavIli0bc+fO1S6WD+HgwYPUqVMHiJ/CPMsOz3kP6EP81MSZM2eq0CsZTsGCBZk9ezbVqlUjOjqaefPm8eKLL3LkyBGqVKli85yAgADGjBlj1b5jxw6yZs1q1R4VFZXw9Z49e+y65IPJZOLkyZMcOnSIw4cPc+/ePbs9d2qdPHmSkydP8tVXX+Hr68tzzz1H7dq1qVSpkl03gtq583HvyZYHdC3tR9fSfnQt7UfX0n5cdS3/uxFmSlRclEzFaDTSrl07Dh48aNFevHhx9u7dS9GiRV2UTERcoUqVKmzdupVGjRpZ/OO5YMECfH19mTJlihY/T8LNmzcpWrQoMTExVAF+teNzDwauAf369qVatWp2fGaRtKF06dKULl064bhWrVqcP3+eyZMns3TpUpvnjBw5ksGDBycch4aGUrRoURo3bmyxbuMDERERCV83aNDALtOvz58/z+LFi1m2bBn//PPPYz+fo4SHhyfc2Zg/f346dOhA9+7dKVeuXKqf02g0snPnTho1aqSlMx6TrqX96Fraj66l/eha2o+rr+V/b8BIiYqLkmnExcXRs2dPtmzZYtFeqFAh9u7dS/HixV2UTERcqVatWmzcuJHmzZsTExOT0D5t2jTy5cvHhx9+6MJ0aY/RaKRTp06sWbOGXMBVIKUtKLr8//8ueYjn3w4sAPLly8fnn3/+GElF0pfq1avz008/Jdnv7e2Nt7e3Vbunp6fNPzj+25bUmIdhNps5cOAAkyZNYtOmTXaZ8uzh4UGBAgXIly8f2bNnx9fXF3d3dwwGA7GxsURERBAWFsa///5LcHCwxe/mR3Xz5k2mTp3K1KlTady4Me+99x5NmjRJ9QdHj3MtxZKupf3oWtqPrqX96Fraj6uu5aO8poqLkimYzWaGDRtmdTdArly52LFjByVLlnRRMhFJC1566SXWrl3La6+9RmxsbEL7Rx99RLFixejSpUsyZ2cec+fOpU+fPrgD84CeKYxfAvQATIAB6A/USGZ8GND7/78eP348uXLleszEIulHYGAgBQsWdHWMBEajkbVr1zJp0iR+/TV19yb7+flRpUoVKleuTPny5Xn66ad58sknyZ8//0MvO2E2m7l16xbnz5/n3LlznDhxgsDAQI4dO2axZu7D2LFjBzt27KBs2bIMHDiQN9980+aUchEREXk0Ki5KpjBx4kS++uorizYfHx82b97MM88846JUIpKWtGzZkmXLltGhQweLO3N69uxJoUKFeOmll1yYzrUCAwOpXLkyAB2AFSmMDwGeBG4Dr7zyCitXrqRmzZoMDAzk52TOG0b8nZC1a9dWQVfSlfDwcM6dO5dwfPHiRQIDA8mdOzfFihVj5MiRXLt2jSVL4u/fnTJlCiVLluSZZ54hKiqKefPmsWfPHnbs2OGqbyGB0Whk/vz5jBs3jqtXrz7SudmyZaNhw4a89NJL1KtXj/Llyz/2mqkGg4F8+fKRL18+nn/++YT2uLg4/v77bw4cOMDOnTvZtWsXISEhD/Wcp0+fpm/fvnz44YeMHDmSt99+265rUoqIiGQ2Ki5Khvfdd98xfPhwizZ3d3fWrFlDrVq1XJRKRNKi9u3bExwczMCBAxPaYmNjee211zhw4AAVK1Z0YTrnCwkJoXz58ly7do0ywOmHOKc68AvxBYGg69cpUKAAAFOnTuWFF15gKfCmjfP2AHOI//08c+ZMbaYj6cqxY8eoX79+wvGDtRG7du3KokWLCAoK4sqVKwn9MTExDBkyhGvXrpE1a1YqVKjArl27LJ7D2eLi4li7di0ffvghZ8+efejz8uTJw2uvvUabNm144YUXbE7ddgQ3NzfKli1L2bJl6dOnD7GxsRw8eJDvvvuO7777juvXr6f4HLdu3WLIkCFMmTKFTz75hC5duth18xcREZHMQu/cJUM7duwYb75p/WfsggULaN68uQsSiUha9+677zJkyBCLtrCwMJo1a/bId/GkVyaTib59+5IrVy7uXbvGSVIuLA4kfurzL8C+ffuIi4tLKCwC1KtXj7Zt2/I+EJHo3AigF2AG3nnnHSpUqGC370XEGV588UXMZrPVY9GiRQAsWrSIffv2JYwfPnw4586d4/79+9y+fZu9e/e6tLC4a9cuqlevTvv27R+qsOjp6cnrr7/O5s2bCQoKYs6cOTRu3NhphUVbPDw8eOGFF5g2bRpXrlxh165dvPnmm/j4+KR47tWrV+nZsyfPPvss3333nV3WlRQREclMVFyUDOvq1au0bNmS+/fvW7R/+eWXmm4nIskaP3487dq1s2i7fv06zZs3Jzw83EWpnGP16tV4eHgw55tvGE/8OojJ7a+6BfAGpgGff/45cXFxvPDCCzbHjh8/njtZshCQqP194CJQsGBBxowZ8/jfhIg8lAsXLtCsWTMaNWr0UOsq5s2bl9GjR3P16lXWrl1L8+bN0+Ri/e7u7jRs2JAlS5Zw9epVxo0bR6FChVI876+//qJNmza8+OKLnDp1yglJRUREMgYVFyVDCg8Pp2XLlty4ccOivWfPngwbNsxFqUQkvXBzc2Px4sXUrVvXov3EiRN07dqVuLg4FyVznDNnzmAwGGjfvj3NgDji10BMTiGgBVC9Th0iIyMZNWpUsjuwlihRgmHDhjEJuPT/bfuBr///66+++go/P7/H+j5EJGVGo5EvvviCZ555hq1bt6Y4vkyZMsyZM4crV64wZswY/P39nZDSPvLkycPIkSO5dOkSy5cvp1q1aimes3//fipWrMioUaOIjIx0QkoREZH0TcVFyXBMJhMdO3bk999/t2ivX78+M2fOTPYPXxGRB7JkycKGDRsoU6aMRfu6dev47LPPXJTK/iIiIqhYsSKlS5emOPFTk7ekcE5D4qdABxG/ccWBAwceauohwIgRI8hTuDBDgUjid5w2Aw0aNKB9+/ap/j5E5OEcOnSIKlWqMHLkSKKiopId++yzz7Jx40ZOnjxJ7969H/q/87TI09OTjh07cvTo0YRp4MmJjY0lICCA8uXL88MPPzgppYiISPqk4qJkOGPGjGHTpk0WbU8//TTfffcdXl5eLkolIulR7ty52bx5M7ly5bJo//jjj1m/fr2LUtlHXFwco0aNwtfXlzN//MF+/nc3YVI+Jr6ouAfYtGkTZrOZEiVKPNLrZsuWjS+//JLvgFbAOeL/6P/666/14Y+IA4WFhdG3b19q167Nn3/+mezY4sWLs2TJEn777TdatWqVoTZYMhgMNGzYkJ9//pl169ZRtmzZZMdfvHiR5s2b07FjR0JDQ52UUkREJH3JOO8URIj/Y/fTTz+1aMudOzdbtmyxKg6IiDyMUqVKsWrVKqs/rt98801OnDjholSPZ9u2bbi7uxMQEMBI4D5QN5nxPwNZgbHA0KFDMZlMtGjRItWv37FjR2rWrMnu/z8eMmSI1R2iImI/v/zyC5UrV+abb75JdlyePHmYMmUKf//9N2+++Sbu7u5OSuh8BoOBV199lRMnTrBw4UKKFCmS7Pi1a9cyaNAgdu3a5aSEIiIi6YeKi5JhnDt3zmpnaHd3d9atW8eTTz7polQikhE0atSISZMmWbRFRETwyiuvcOfOHRelenRXr17FYDDQtGlT6hE/HXlcCueUAmoCJcuVIzQ0lAkTJjz2XUwGg4GpU6cCUKxYMT788MPHej4RSd7LL7/M+fPnkx3Tt29fzp07x8CBA12667Ozubu7061bN06fPs2wYcOSLajeuXOHZs2a8d5776U4pVxERCQ9SLxPRWqpuCgZQkREBK+++ir37t2zaJ84cWKSu5aKiDyKgQMH0rVrV4u2ixcv0r17d8xms4tSPZyoqCgaNmxIsWLF8AdigR9TOKc18VOgLwCnTp3i5MmTZM+e3W6ZnnvuObp27cqUKVPIli2b3Z5XROJdvHgx4evkNqF69tlnOXToELNmzSJnzpxOSJY2+fr6Mn78eI4fP06tWrWSHTtlyhSqVatmtb63iIhIemEymRg1ahRPPfVUisulPAwVFyXdM5vN9O7d2+o/iDfeeIOBAwe6KJWIZDQGg4HZs2dTo0YNi/bvv/+er776ykWpkmc2mxk/fjw+Pj4c2LOH9cANILmJjlOJf3OwEVi+fDlmsznFNclSa9q0abRu3dohzy2SWZnNZpYsWULNmjWTHefj48OXX37Jr7/+muLYzKRChQocOHCAuXPnJrukzsmTJ6levTpz5sxJ8x8wiYiI/Nft27dp2rQpAQEBhIeH89prrxESEvJYz6nioqR7s2bN4ttvv7VoK1++PPPmzdPmACJiV1myZOG7774jX758Fu3vv/8+hw8fdlEq2w4dOoSbmxsjRoygLxBD/N2ISTkH+AGDgO49emA0GunYsaNDM/r5+en3tIgdhYSE0KFDB7p27Up4eHiS4x5s6jJ8+HA8PT2dmDB9cHNzo1evXpw8eZImTZokOS4mJoa33nqLXr16aZq0iIikC7/99hvVqlVj586dCW1nz56lS5cuyc50SImKi5KunThxgsGDB1u0+fn5sW7dOk2zExGHKFy4MMuWLbMoisXGxtK+fXtu377twmTxbt68SZs2bXjxxRepQvy6irNSOKc88BTgkz8/t2/fZv78+Xh4eDg8q4jYl9ls5tChQ0n2u7u78+mnn7Jv3z6eeOIJJyZLnwoWLMjWrVuZPn06WbJkSXLcggULqFOnDpcvX3ZiOhERkUezbNkyatWqxaVLl6z6Nm3axGeffZbq51ZxUdKtyMhIOnToQHR0tEX70qVLeeqpp1yUSkQyg8aNG1ttQnL16tXH/sTvcRiNRtq1a0eRIkXIHhtLMPBrCud0IX5dxZPAsWPHCA4OJnfu3A7PKiKOkStXLpYuXWrzjuAnn3ySgwcP8uGHH+rDg0dgMBgYMGAAP//8MyVLlkxy3K+//krVqlUt7gQRERFJC4xGI++++y5vvvlmknfae3p6UqBAgVS/hoqLkm4NGTKEkydPWrQNGjSIVq1auSiRiGQmH3/8MfXr17do++GHH5g2bZrTs8ydOxcvLy/WrVnDPOAOkD+Z8UsAD2Ap8PXXXxMXF0fVqlWdEVVEHOyFF15g+PDhFm2dO3fmt99+s1ozVh5euXLlGD9+vNWMmf+6ffs2L7/8MpMmTdI6jCIikibcvHmTBg0aMH369CTHFCpUiP3799OnT59Uv46Ki5IurVu3jtmzZ1u0VapUiS+++MJFiUQks3F3d2fFihX4+/tbtL///vtWH3w4SmBgIAaDgT59+tCB+F2geyYzPgTIC3QFWrZuTXR0NG+//bbWPRTJYMaOHUvFihUTjqdPn46vr68LE2UMnp6efPHFF6xbt47s2bPbHBMXF8fQoUPp378/sbGxTk4oIiLyP3///TfPP/88P/30U5Jj6tWrx/Hjx3n++ecf67VUXJR05+rVq/Tq1cuiLWvWrKxcuRJvb28XpRKRzKhAgQIsX77coi06OprOnTsTExPjsNcNCQmhSJEiVK5cmTLEr6u4IoVzqgO5gLtubgQFBbF+/Xq8vLwcllFEXMfLy4ulS5e6OkaG9eqrr3L06FHKli2b5JhZs2bxyiuvEBYW5sRkIiIi8Q4cOEDNmjW5ePFikmMGDRrErl27rG6WSA0VFyVdMZvN9OzZk7t371q0z5gxg9KlS7solYhkZg0bNrSaJhcYGMjHH39s99cymUz07duXXLlyce/aNU4Cp1M4513i11X8Bdi3bx8mk+mx1lMRkfRBG7Y4VpkyZThy5Aht27ZNcswPP/xAvXr1uHbtmhOTiYhIZvftt9/y0ksvWdVNHvDx8WHZsmVMnjwZT09Pu7ymiouSrsybN89qoew33niDbt26uSaQiAjw+eefU758eYu2L7/8MtkpCI9q9erVeHh4MOebbxgPhAHlkhn/A+ANTP//fHFxcbzwwgt2yyMiktllz56dVatWMWHChCSXlwgMDKRGjRr8/vvvTk4nIiKZjdlsJiAggI4dOyY5i6pkyZIcPnyYTp062fW1VVyUdOPy5csMGTLEoq1w4cLMmjVL64WJiEtlyZKFZcuWWXzyZzabefPNNx97StyZM2cwGAy0b9+eZkAcMCyFcwoBzYHqdeoQGRnJqFGj9HtSRMQBDAYDQ4cOZd26dfj4+Ngcc+3aNerVq2fXD5xERET+Ky4ujv79+zNq1Kgkx9SsWZMjR45YrMtsLyouSrpgNpvp1auX1R/pc+fOJWfOnK4JJSLyHxUrVuSzzz6zaLt06RIffPBBqp4vIiKCihUrUrp0aYoTv67ilhTOaUj8FOgg4ouSBw4cSPKPXRERsZ/WrVvz448/kj9/fpv9oaGhNG7cmO3btzs5mYiIZHSxsbF06dKFWbNmJTmmTZs27N69m3z58jkkg4qLki7MmTOHXbt2WbT17NmTpk2buiiRiIi1IUOGUK9ePYu2GTNmcPjw4Yd+jri4OEaNGoWvry9n/viD/cClFM75mPii4h5g/fr1bNiwgRIlSjxSdhEReTzPPfccR44cSXKjl/v379OyZUvWrl3r5GQiIpJRRUdH07ZtW6tNJv9r6NChrFq1yqE3Hai4KGnelStXGDp0qEVbkSJFmDRpkosSiYjY5u7uzoIFC8iSJUtC24M7rx9m9+ht27bh7u5OQEAAI4H7QN1kxh8BsgJjiX/TYDKZaN68+eN9EyIikmolSpTg0KFDNGjQwGa/0Wikffv2LFy40MnJREQko4mIiKBly5Zs2LDBZr+bmxtff/01EyZMwM3NseU/FRclzXv33XcJDw+3aJs3bx45cuRwUSIRkaSVKlWKsWPHWrSdOnWKgICAJM+5evUqBoOBpk2bUo/4KdDjUnod4HmgZLlyhIaGOuVNg4iIpCxnzpxs3bo1yZ2k4+Li6NGjB1OmTHFuMBERyTBCQkJo3Lix1Ya3D3h7e7N+/Xrefvttp+TRXyGSpn3//fds3LjRoq1nz540adLERYlERFL23nvvUaVKFYu2zz//nFOnTlm0RUVF0bBhQ4oVK4Y/EAv8mMJztyZ+CvQF4ouWJ0+eJHv27HbLLiIij8/Ly4tvv/2WHj16JDnmvffe00wcERF5ZHfu3KFhw4YcOnTIZn+2bNnYunUrrVq1clomFRclzYqIiOCdd96xaMuXLx8TJkxwUSIRkYfj4eHB/PnzcXd3T2gzGo307t0bs9mM2Wxm/Pjx+Pj4cGDPHtYDNwD3JJ8RphL/j/ZGYPny5ZjN5iTX9RIREddzd3dn3rx5vPfee0mOGTp0KJMnT3ZiKhERSc8e3LF4/Phxm/05c+Zk165d1K9f36m5VFyUNOvTTz/lypUrFm1fffUVuXLlclEiEZGHV6lSJYYNG2bRdujQIUaPHo2bmxsjRoygLxBD/N2ISTkH+AGDgO49emA0GunYsaODUouIiD0ZDAYmTZrEmDFjkhwzePBgpk6d6sRUIiKSHt27d48mTZrw66+/2uzPnz8/P/74I88//7yTkzmpuPj1119TokQJsmTJQo0aNTh69GiSYxctWoTBYLB4/HdhfMkc/vzzT6tpIvXr16dTp04uSiQi8uhGjx5NqVKlLNo+++wzqhC/ruKsFM4vDzwF+OTPz+3bt5k/fz4eHh6OCSsiIg5hMBgYPXp0smssDho0iBkzZjgvlIiIpCthYWE0bdo0yXpa0aJFOXDgABUqVHBysngOLy6uWrWKwYMH8/HHH3P8+HEqVqxIkyZNuHnzZpLn+Pn5ERQUlPC4fPmyo2NKGmI2m+nfvz+xsbEJbZ6ensycORODweDCZCIij8bHx8fig5JcQDBg+7PG/+lC/LqKJ4Fjx44RHBxM7ty5HZZTREQcb+DAgckWEN955x1mzUrpYycREclswsPDadasGYcPH7bZX7x4cQ4cOMDTTz/t5GT/4/Di4ldffUXv3r3p3r075cqVY/bs2WTNmpUFCxYkeY7BYKBAgQIJD39/f0fHlDRk/fr17N+/36Jt+PDhlClTxkWJRERSZ+7cubRu3Rp3YB5wB8ifzPilgMf//+/MmTMxm81UrVrVCUlFRMQZ+vfvz7Rp05Lsf/vtt5k/f74TE4mISFoWHR3Nq6++yk8//WSzv2jRouzdu5fixYs7OZklh86tiomJ4ddff2XkyJEJbW5ubrz00ktJVlwhvipbvHhx4uLiqFKlCuPGjeOZZ56xOTY6Opro6OiE49DQUCB+4Xyj0Win70QSe3Bt7X2No6OjrdYoK168OMOHD8+U//901HWW//nvtdXvDcfKTD/PgYGBVK9eHYAOwIoUxocATwK3gVatWrFixQq8vLxSda0y03V2FV1bEXkc77zzDiaTKcmNXvr06UOuXLl47bXXnJxMRETSEqPRyPjx45NcY7Fw4cLs3buXkiVLOjmZNYcWF2/duoXJZLK689Df35+//vrL5jmlS5dmwYIFVKhQgXv37jFx4kRq1arFyZMnKVKkiNX4gIAAmwsk7927l6xZs9rnG5Ek7dy5067Pt2HDBi5cuGDR1rZtW/bu3WvX10lv7H2d5X+ioqISvt6zZ4/WeHWCjPzzHB4ezsCBA7l9+zZlgNMPcU4N4CjxH74tnD+fXLlysWvXrsfOkpGvs6tFRka6OoKIpHODBg0iLi6OIUOGWPXFxcXRoUMHtmzZwksvveSCdCIi4mpxcXH06tUrycJiwYIF2bt3r9X67q6S5laFr1mzJjVr1kw4rlWrFmXLluWbb77h008/tRo/cuRIBg8enHAcGhpK0aJFqV+/Pnny5HFK5szIaDSyc+dOGjVqhKenp12e899//6VLly4WbTVr1uTzzz/PtGstOuI6i6WIiIiErxs0aEDOnDldFyaDy8g/zyaTiXfffZe5c+fiS/xaieVSOGcg8GBi3K5du6hXr55dsmTk65xW3L5929URRCQDGDx4MCaTieHDh1v1xcTE0Lp1a3bv3k2NGjVckE5ERFzFbDYzaNAgvv32W5v9/v7+7N27l6eeesrJyZLm0OJi3rx5cXd3Jzg42KI9ODiYAgUKPNRzeHp6UrlyZc6dO2ez39vbG29vb5vn6Y8qx7Pndf78888TprU/MHnyZLy8vOzy/OmZfp4d57/XVdfZOTLadV69ejXt27fHAIwHhqUw/gfgVSDm/4/nzZtHw4YN7Z4ro13ntETXVRLbv38/EyZM4NdffyUoKIj169fTunXrZM/Zt28fgwcP5uTJkxQtWpQPP/yQbt26OSWvpB3Dhg3j/v37fPzxx1Z9ERERNGvWjP379ye5RJSIiGQ8n332GdOnT7fZlzdvXvbs2UPp0qWdnCp5Dt3QxcvLi6pVq7J79+6Etri4OHbv3m1xd2JyTCYTJ06coGDBgo6KKWnA33//zTfffGPR1rFjR31SKyJp1pkzZzAYDLRv355mQBwpFxYLAc35X2ER4OOPP9Y0W5F0LiIigooVK/L1118/1PiLFy/SvHlz6tevT2BgIIMGDaJXr15s377dwUklLfroo48YOHCgzb47d+7QuHFjLl265NxQIiLiEjNnzmT06NE2+3x9fdm6dSvlyqU0R8r5HL5b9ODBg5k7dy6LFy/m9OnT9OvXj4iICLp37w5Aly5dLDZ8GTt2LDt27ODChQscP36czp07c/nyZXr16uXoqOJCn3zyCSaTKeE4S5YsBAQEuDCRiIhtD4oIpUuXpjhgBrakcE5DwAAEAUuWLLHou3btWpKfTIpI+tC0aVM+++wzXn311YcaP3v2bEqWLMmkSZMoW7YsAwYMoE2bNkyePNnBSSUtMhgMfPXVV7z55ps2+69fv06TJk20JIOISAa3atUqBgwYYLPPy8uLjRs3Uq1aNSenejgOLy62b9+eiRMnMnr0aCpVqkRgYCDbtm1L2OTlypUrBAUFJYy/e/cuvXv3pmzZsjRr1ozQ0FAOHTqUJiuzYh9//PEHK1eutGgbNGgQxYoVc1EiERFrcXFxjBo1Cl9fX8788Qf7gUspnPMx8UXFPcCmTZswm828+eabVgv0BwQEcOfOHYfkFpG05/Dhw1a/B5o0acLhw4ddlEhczc3Njfnz59OyZUub/WfOnKF169YWG9GJiEjGceDAAbp06YLZbLbqc3NzY+XKlTRo0MAFyR6OUzZ0GTBgQJLV13379lkcT548WZ/aZjKJ15jx8/Nj2LCUJheKiDjPtm3baNq0KQAjgXEpjD8C1AfuA0OHDuXLL7/Eze1/n+d98cUXFp863rt3jy+++ILx48fbO7qIpEE3btxI+KD9AX9/f0JDQ7l//z4+Pj5W50RHRxMdHZ1w/GCdaqPRiNFotBr/37akxsjDe3D9HH0dly1bRosWLThw4IBV308//cSbb77JsmXLLP5NSW+cdS0zA11L+9G1tB9dy0f3999/88orrxATE2Ozf8aMGbRo0cLp1/RRXi/N7RYtmcuxY8fYsGGDRdvQoUPJnTu3awKJiPzH1atXE+6irgf8+BDnlAIuAOXKlePnn38me/bsVmOqVq1Khw4dLHaA+/rrrxk2bBj58uWzS3YRyVgCAgIYM2aMVfuOHTvImjWrVft/73Dbs2cPWbJkcWi+zGLnzp0Of42+ffty7do1Lly4YNW3du1aYmNjM8TmP864lpmFrqX96Fraj67lwwkJCWHEiBHcvXvXZn/Xrl0pVKgQP/zwg5OT8Ujrwqu4KC710UcfWRznyZMnyQWtRUScJSoqiubNm7Nnzx78gWuAewrntAY2/v/Xp06domzZssmOHzt2LKtXr05YbzYyMpLJkyczblxK90WKSHpXoEABgoODLdqCg4Px8/OzedciwMiRIxk8eHDCcWhoKEWLFqVx48b4+flZjY+IiEj4ukGDBuTMmdM+4TMpo9HIzp07adSokVN2jK9bty5169bl8uXLVn0bNmygfv369OvXz+E5HMHZ1zIj07W0H11L+9G1fHiRkZE0atTI6j3BAwMGDOCll15y2bV8MEviYai4KC5z6NAhtm3bZtE2YsQIm2+QRUScwWw2M2HCBEaMGIEnsJ74omFypgLvEb+xy/Lly+nYseNDvdaTTz5Jp06dLDZ4mT59uu7eFskEatasaXUHws6dO6lZs2aS53h7e+Pt7W3V7unpafMPjv+2JTVGHp2zrmXRokX54YcfqF27NiEhIVb97733HiVKlKBVq1YOz+Io+rm0H11L+9G1tB9dy+SZTCa6devGL7/8YrP/tddeY+LEiWzbts1l1/JRXjP9LtYh6d4XX3xhcezv70///v1dlEZEMruDBw/i5ubGiBEj6AvEkHxh8RzgBwwCuvfogdFofOjC4gOjRo2yWDcrPDycKVOmPGJyEXG18PBwAgMDCQwMBODixYsEBgZy5coVIP6uwy5duiSM79u3LxcuXGD48OH89ddfzJw5k9WrV/Pee++5Ir6kUeXKlWPDhg14eXlZ9cXFxdGhQwd+++03FyQTEZHHNXToUKsl4h54/vnn0936uuknqWQof/75J5s2bbJoGzFihM01g0REHOnmzZt4e3tTp04dqhB/B+KsFM4pDzwF+OTPz+3bt5k/fz4eHo8+GaB06dK88cYbFm1Tp061eZeKiKRdx44do3LlylSuXBmAwYMHU7lyZUaPHg1AUFBQQqERoGTJkmzZsoWdO3dSsWJFJk2axLx582jSpIlL8kva9cILL7Bw4UKbfZGRkbRq1YqgoCAnpxIRkccxd+7cJG8oKFWqFN9//32Sy6SkVSouikt8+eWXFse5c+emd+/eLkojIpmR0WikXbt2+Pv7ky0mhmDg1xTO6QoYgJPEFxOCg4MfewrzBx98gMFgSDgODQ1l+vTpj/WcIuJcL774Imaz2eqxaNEiABYtWsS+ffuszvntt9+Ijo7m/PnzGWKDDnGMjh07EhAQYLPvn3/+4dVXX7XYwEdERNKuH3/8kbfffttmX548edi6dWu63OBRxUVxukuXLlnskArwzjvv4Ovr66JEIpLZzJ07Fy8vL9atWcM84A6QP5nxS4lfpHgJMHPmTMxmM1WrVrVLlnLlytG2bVuLthkzZugPRRERSTBixAj69Oljs+/IkSP06tULs9ns5FQiIvIoLly4wOuvv05sbKxVn7e3N99//z1PPfWUC5I9PhUXxekmTZqUsDsqQNasWXnnnXdcmEhEMovAwEAMBgN9+vShAxAL9ExmfAiQF+gCtGzdmujoaIfszjlq1CiL45s3b7J8+XK7v46IiKRPBoOBGTNm0KBBA5v9y5cvt1rPXERE0o7Q0FBatWrF7du3bfYvWrSIWrVqOTmV/ai4KE5169Yt5s+fb9HWp08f8uTJ46JEIpIZhISEULhwYSpXrkwZ4tdVXJHCOTWAXMBdNzeCgoJYv369zUX17aFixYo0bNjQou2rr77SXSgiIpLA09OTNWvW8OSTT9rsHzVqVJKbA4iIiOuYTCY6derEyZMnbfZ/9NFHVuuwpzcqLopTzZ07l/v37ycce3h4MHjwYBcmEpGMzGQy0bdvX3LlykXo9eucBE6ncM5A4tdVPEr8migmk4kCBQo4POuQIUMsjk+dOsX27dsd/roiIpJ+5M6dm02bNpEjRw6b/Z07d+aPP/5wcioREUnOqFGj2Lx5s82+1157jU8++cS5gRxAxUVxmtjYWGbNstyDtUOHDhQtWtRFiUQkI1u9ejUeHh7M+eYbJgBhQLlkxm8BvIFpwOeff05cXBz16tVzRlQAmjRpQtmyZS3avvrqK6e9voiIpA9lypRh9erVuLlZ/ykXERHBq6++yp07d1yQTEREEvv2228ZP368zb6KFSuyZMkSm7/P05v0/x1IuvH9999z9epVizattSgi9nbmzBkMBgPt27enORAHDE3hnEJAC6B6nTpERkYyatQoix2cncHNzY333nvPom3nzp2cOHHCqTlERCTta9y4MZMnT7bZd+HCBTp27GixxrmIiDjf77//Ts+etld49/f35/vvvydbtmxOTuUYKi6K00yfPt3iuEaNGjz33HMuSiMiGU1ERAQVK1akdOnSFCd+XUXbkw/+pyHxU6CDgIsXL3LgwAF8fHwcHTVJnTt3Jm/evBZtie/4FhERgfgP6ZPaQXr79u2MHj3ayYlEROSBO3fu8Oqrr1osC/eAl5cX69evp1ixYi5I5hgqLopTnDhxgn379lm0DRgwwDVhRCRDiYuLY9SoUfj6+nLmjz/YD1xK4ZyPiS8q7gE2b96M2WymRIkSDk6aMh8fH/r27WvRtmzZMsLDw12USERE0iqDwcD06dOpXbu2zf5x48bx3XffOTmViIiYTCY6duzIxYsXbfbPmTOHmjVrOjmVY6m4KE7x9ddfWxznz5+ftm3buiiNiGQU27Ztw93dnYCAAEYC94G6yYz/GcgKjAWGDh2KyWSiefPmzoj60Hr37m2x7kpYWBgrV650YSIREUmrvLy8WLt2LYUKFbLZ37Vr1yR3JxUREcf46KOPktyYccCAAXTt2tXJiRxPxUVxuPDwcJYvX27R1qdPH7y9vV2USETSu6tXr2IwGGjatCn1iJ8CPS6Fc0oBNYGS5coRGhrKhAkT0uTiycWKFaNp06YWbd98842L0oiISFpXoEABvvvuOzw9Pa36HmzwEhIS4vxgIiKZ0Lp16wgICLDZV6dOnQy7YWPa+6tKMpy1a9daTOlzc3PjrbfecmEiEUmvoqKiaNiwIcWKFcMfiAV+TOGc1sRPgb4AnDp1ipMnT5I9e3YHJ308idfQOnbsGMePH3dRGhERSeuef/55q5lCD5w9e5auXbtiNpudnEpEJHM5ffp0knclFipUiDVr1tj8ICgjUHFRHG7hwoUWxy+//DJFihRxURoRSY/MZjMTJkzAx8eHA3v2sB64Abgnc85U4v+R2wgsX74cs9lM2bJlnRH3sTVr1ozChQtbtOnuRRERSU7v3r2T3ODl+++/Z9KkSU5OJCKSeURERNCmTRuba6V7enqydu1aChQo4IJkzqHiojjU+fPn2b9/v0Vb9+7dXZRGRNKjgwcP4ubmxvDhw+kLxBB/N2JSzgF+wCCge48eGI1GOnbs6PigduTh4UGvXr0s2lasWEFkZKSLEomISHowbdo0nn/+eZt977//PgcPHnRyIhGRjM9sNtOvXz9OnTpls3/69OkZbgOXxFRcFIdatGiRxXHu3Llp2bKla8KISLpy8+ZNvL29qVOnDlWIX1dxVgrnlAeeAnzy5+f27dvMnz8fDw8Ph2d1hF69emEwGBKOw8PD2bRpkwsTiYhIWuft7c3atWvJnz+/VZ/JZKJ9+/b8+++/LkgmIpJxLViwgKVLl9rs69mzZ5J3lWckKi6Kw5hMJqviYqdOnbSRi4gky2g00q5dO/z9/ckWE0Mw8GsK53Qlfl3Fk8SvTxgcHEzu3LkdntWRihQpQsOGDS3aEm+OJSIikljhwoX59ttvLT6geuDatWt07twZk8nkgmQiIhnPH3/8wYABA2z2Va5cmRkzZtj8fZzRqLgoDrN3717++ecfi7YePXq4KI2IpAdz587Fy8uLdWvWMA+4A1jfe/E/SwEPYAkwc+ZMzGYzVatWdUZUp+jcubPF8datW7l165aL0oiISHrRoEEDxowZY7Nvx44djBs3zsmJREQyntDQUNq0aUNUVJRVn5+fH2vWrCFLliwuSOZ8Ki6Kw6xatcriuGLFilSqVMk1YUQkTQsMDMRgMNCnTx86EL8LdM9kxocAeYEuQMvWrYmOjqZfv35OSOpcr776Kj4+PgnHsbGxrF692oWJREQkvfjggw9o3Lixzb6PP/6Y3bt3OzmRiEjGYTab6dOnD2fPnrXZv3DhQkqVKuXkVK6j4qI4hNFoZN26dRZt6W1DBRFxvJCQEAoXLkzlypUpQ/y6iitSOKcGkAu46+ZGUFAQ69evx8vLy+FZXcHPz49XXnnFok1To0VE5GG4ubmxbNkyChcubNVnNpvp2LEj169fd0EyEZH0b9asWVY3VD0waNAgXnvtNScnci0VF8Uh9uzZw507dyza2rVr56I0IpLWmEwm+vbtS65cuQi9fp2TwOkUzhlI/LqKR4Eff/wRk8lEgQIFHJ7V1Tp16mRxfOjQIS5cuOCiNCIikp7ky5ePVatW4e7ubtV38+ZNOnToQGxsrAuSiYikX8eOHeO9996z2VejRg2+/PJLJydyPRUXxSESV/CrV69OiRIlXBNGRNKUNWvW4OHhwZxvvmECEAaUS2b8FsAbmAaMGzeOuLg46tWr54yoaUKTJk3ImzevRdv69etdlEZERNKb2rVrJ/mH7v79+/noo4+cnEhEJP26e/cubdu2JSYmxqovd+7crF69OsPOqkqOiotidzExMVZ/+LZv395FaUQkrThz5gytW7emU6dONAfigKEpnFMIaAHUqFuXyMhIRo4cmSl2W/svT09PWrdubdGm4qKIiDyKwYMHWy2z8cAXX3zBDz/84OREIiLpj9lspnv37ly6dMlm/5IlSyhWrJhzQ6URKi6K3e3atYuQkBCLtrZt27omjIi4XEREBBUrVqR8+fIUJ35dxc0pnNOQ+CnQQcDFixfZv3+/xcYmmc2rr75qcXzo0CFu3LjhojQiIpLeGAwGFi5cmORMoq5duxIUFOTcUCIi6cz06dPZuHGjzb7333+f5s2bOzlR2qHiotjdhg0bLI5r1apF0aJFXRNGRFzGbDYzatQofH19OfPHH+wHLqVwzsfEFxX3AJs3b8ZsNmtJBaBhw4Zkz5494dhsNif5xkZERMSWXLlysWbNGpvT9W7dukWXLl2Ii4tzQTIRkbTv999/Z9iwYTb76taty6effurkRGmLiotiV2azmS1btli0Jb7jRkQyvm3btuHm5kZAQAAjgftA3WTGHwGyAmOBYcOGYTKZMvUnf4l5e3vTrFkzizZNjRYRkUdVrVo1Jk+ebLNv165dTJw40cmJRETSvoiICN544w2b6yzmy5ePlStX4uHh4YJkaYeKi2JXgYGBXL9+3aKtZcuWLkojIs529epVDAYDTZs2pR7xU6DHpXBOKeB5oGS5coSGhjJ+/Hjc3PTPU2KJP6jZs2cP9+7dc1EaERFJr/r168drr71ms++DDz7g6NGjTk4kIpK2vffee/z11182+5YtW0ahQoWcnCjt0V9vYlebN1uupFaqVCmefvppF6UREWeJioqiYcOGFCtWDH8gFvgxhXNaEz8F+gJw6tQpTp48aTH1Vyw1bdrUYiqb0Whk+/btLkwkIiLpkcFgYO7cuRQpUsSqLzY2lo4dOxIaGuqCZCIiac/atWuZO3euzb5hw4bRuHFjJydKm1RcFLtKXFxs0aJFptvZVSQzMZvNTJgwAR8fHw7s2cN64Abgnsw5U4n/x2cjsHz5csxmM2XLlnVG3HTNz8+PBg0aWLTt2LHDRWlERCQ9y507N8uXL7c5U+D8+fP079/fBalERNKWK1eu0Lt3b5t91apV47PPPnNyorRLxUWxm+DgYKtpFC1atHBRGhFxtIMHD+Lm5sbw4cPpC8QQfzdiUs4CfsAgoEfPnhiNRjp27Oj4oBlIkyZNLI63b9+O2Wx2URoREUnP6tWrx4cffmizb9myZSxdutTJiURE0o7Y2Fg6d+5MSEiIVZ+vry8rVqywuUFWZqXiotjNtm3bLI59fX2pV6+ei9KIiKPcvHkTb29v6tSpQxXi11WclcI55YGnAbccObhx4wbz5s3L9Isep0biaRf//PNPkuu/iIiIpOSjjz6idu3aNvvefvttzp075+REIiJpw+eff86BAwds9n399dc89dRTTk6Utqm4KHazZ88ei+NGjRqpki+SgRiNRtq1a4e/vz/ZYmIIBn5N4ZyuxK+reBL4+eefWbx4Mblz53Z41oyqbNmyVmtkad1FERFJLQ8PD5YvX07OnDmt+sLDw+nQoYPN3VFFRDKyn376ibFjx9rs69ixI2+++aaTE6V9Ki6KXZjNZqviYsOGDV2URkTsbe7cuXh5ebFuzRrmAXeA/MmMXwp4AEuAmTNnYjabqVKlijOiZmgGg8Hq7kUVF0VE5HEUL148yc0Kjh07xkcffeTkRCIirnP37l06depEXFycVV/JkiWZNWuW9pWwQcVFsYvz58/zzz//WLTVr1/fRWlExF4CAwMxGAz06dOHDsTvAt0zmfEhQF6gC9CydWuio6Pp16+fE5JmHonXXfzxxx+JiopyURoReeDrr7+mRIkSZMmShRo1alitQ/1fixYtwmAwWDyyZMnixLQiltq0aZPkpgXjx49n165dTk4kIuJ8ZrOZt956iytXrlj1eXh48O233+Ln5+eCZGmfiotiF3v37rU49vf31+6vIulYSEgIhQsXpnLlypQhfl3FFSmcUwPIBdx1cyMoKIj169draQQHaNiwocWnpffv3+fYsWMuTCQiq1atYvDgwXz88cccP36cihUr0qRJE27evJnkOX5+fgQFBSU8Ll++7MTEItYmT55MmTJlbPZ17dqVO3fuODmRiIhzLV68mDVr1tjsGzt2LDVq1HByovRDxUWxi8RTouvXr69bhUXSIZPJRN++fcmVKxeh169zEjidwjkDiV9X8Sjxd9GZTCYKFCjg8KyZVZ48eahQoYJF208//eSiNCIC8NVXX9G7d2+6d+9OuXLlmD17NlmzZmXBggVJnmMwGChQoEDCw9/f34mJRaxly5aNlStX2vxg8Pr16/Tr1w+z2eyCZCIijnfx4kXeffddm33169dn+PDhTk6UvmirTnlsZrPZ6s7FBg0auCiNiKTWmjVraNeuHQZgAjA0hfFbgNeAGGDcuHG8//77+lDBSerUqcPvv/+ecKzioojrxMTE8OuvvzJy5MiENjc3N1566SUOHz6c5Hnh4eEUL16cuLg4qlSpwrhx43jmmWeSHB8dHU10dHTCcWhoKBC/2ZbRaLQa/9+2pMbIw3tw/TL6dSxXrhxffPEFgwcPtupbvXo1TZs2pVOnTo/1GpnlWjqDrqX96FraT3q8liaTic6dOxMWFmbVlydPHhYsWEBcXJzNdRgdydXX8lFeV8VFeWznzp0jODjYok3rLYqkH2fOnKF06dIANAc2P8Q5hYHrQN26ddm+fTs+Pj4OTCiJ1alTh6+//jrh+ODBg8TFxeHmpgkJIs5269YtTCaT1Z2H/v7+/PXXXzbPKV26NAsWLKBChQrcu3ePiRMnUqtWLU6ePGm1I/wDAQEBjBkzxqp9x44dZM2a1ar9v2ux7tmzR2s62snOnTtdHcHhSpQoQaVKlQgMDLTq69+/P0ajkfz5k9vW7eFkhmvpLLqW9qNraT/p6VquXbuWQ4cO2ezr3bs3v//+u8UH+87mqmsZGRn50GNVXJTHduTIEYtjf39/SpUq5aI0IvKwIiIiqFWrFn/88QfFgUsPcU5D4MEiCBcvXqREiRKOiifJqFOnjsVxSEgIp06donz58i5KJCKPombNmtSsWTPhuFatWpQtW5ZvvvmGTz/91OY5I0eOtLibLDQ0lKJFi9K4cWObi8tHREQkfN2gQQNy5sxpv28gEzIajezcuZNGjRrh6enp6jgOV6VKFapUqWK1zmJkZCRLly5lx44duLu7p+q5M9u1dCRdS/vRtbSf9HYtf/vtN1auXGmzr3v37owdO9bJif7H1dfywSyJh6Hiojy2xMXF559/XlMjRdIws9nMBx98QEBAAFmA/UDdFM75GHjwz+rmzZtp3ry5QzNK8ooUKUKJEiW4dOlSQtuBAwdUXBRxgbx58+Lu7m41iyM4OPih15/19PSkcuXKnDt3Lskx3t7eeHt72zzX1h8c/21Laow8usxyLYsXL86cOXNo06aNVd+BAweYNm3aY68/llmupTPoWtqPrqX9pIdref/+fbp160ZsbKxV3xNPPMHUqVPTxPfgqmv5KK+p+VPy2BIXF7WDkkjatW3bNtzc3AgICGAkcJ/kC4tHgKzEFxaHDRuGyWRSYTGNSHz34sGDB12URCRz8/LyomrVquzevTuhLS4ujt27d1vcnZgck8nEiRMnKFiwoKNiijyy119/na5du9rs+/DDD21OmxYRSU9GjBjB6dPW21e6ubmxdOlSsmfP7oJU6ZOKi/JYoqKirN5YqLgokvZcvXoVg8FA06ZNqQeYgXEpnFMKeB4oWa4coaGhjB8/Xmv6pSGJixbHjx93URIRGTx4MHPnzmXx4sWcPn2afv36ERERQffu3QHo0qWLxYYvY8eOZceOHVy4cIHjx4/TuXNnLl++TK9evVz1LYjYNG3aNJtLoBiNRjp37myxtqeISHqyY8cOpk+fbrNv5MiR1KpVy8mJ0jf9lSiPJTAw0GIHIYPBQLVq1VyYSET+KyoqioYNG1KsWDH8ARPwYwrntAYMwAXg1KlTnDx5Up/apUFVq1a1OP7rr78s1lgTEedp3749EydOZPTo0QkbYWzbti1hk5crV64QFBSUMP7u3bv07t2bsmXL0qxZM0JDQzl06BDlypVz1bcgYpOfnx9LliyxueTRyZMnLYrmIiLpxe3bt+nWrZvNvqpVq/Lxxx87N1AGoOKiPJajR49aHJcrV87mouIi4lxms5kJEybg4+PDgT17WA/cIPlf+lP/v38jsHz5csxmM2XLlnVGXEmFChUqWCymbzabNUVNxIUGDBjA5cuXiY6O5siRIxYzOfbt28eiRYsSjidPnpww9saNG2zZsoXKlSu7ILVIyurWrcuIESNs9k2ZMiVd7QgrImI2m+nbt6/Fh34P+Pj4sGzZsjSxzmJ6o+KiPJbE27FXr17dRUlE5IGDBw/i5ubG8OHD6QvEEH83YlLOAX7AIKBHz57ExsbSsWNHxweVx+Lj42NV/NXUaBERcYQxY8YkWQDv1q2b1a7SIiJp1dKlS1m7dq3NvgkTJlCmTBknJ8oYVFyUx/Lnn39aHFesWNFFSUTk5s2beHt7U6dOHaoQv67irBTOKQ88Bfjkz8/t27eZN2+exd1wkrYlnhqt4qKIiDiCl5cXy5cvJ0uWLFZ9169f55133nFBKhGRR3PlypUkf1+9/PLLvP32205OlHGouCipZjKZrHZWevbZZ12URiTzMhqNtGvXDn9/f7LFxBAM/JrCOV2JX1fxJHDs2DGCg4PJnTu3w7OKfVWpUsXiWMVFERFxlLJlyzJ+/HibfStWrEjyTiARkbTAbDbTq1cvQkNDrfry5MnDggULbK4vKw9HxUVJtRs3bljtEKfioohzzZ07Fy8vL9atWcM84A6QP5nxSwEPYAkwc+ZMzGaz1d1vkn4kLi6eOnWKmJgYF6UREZGMrn///jRu3NhmX79+/QgODnZyIhGRhzN37twk14idM2cOBQsWdHKijEXFRUm1y5cvWxz7+/uTL18+F6URyVwCAwMxGAz06dOHDkAs0DOZ8SFAXqAL0OrVV4mOjqZfv35OSCqO9Mwzz1gcx8bGcuHCBRelERGRjM7NzY0FCxaQM2dOq75bt27Rt29fzGaz84OJiCTj0qVLDBkyxGZfly5deO2115ycKONRcVFS7dKlSxbHumtRxPFCQkIoXLgwlStXpgzx6yquSOGcGkAu4K6bG0FBQaxbtw4vLy+HZxXHy5UrF/7+/hZtf//9t4vSiIhIZlC4cGGmT59us2/Dhg0sW7bMyYlERJIWFxdHz549CQ8Pt+orVKgQU6dOdUGqjEfFRUm1K1euWBxXqFDBRUlEMj6TyUTfvn3JlSsXodevcxI4ncI5A4lfV/Eo8OOPP2IymShQoIDDs4pzJd7RTsVFERFxtE6dOiV5p88777zDP//84+REIiK2zZ49mz179tjsmzdvns07seXRqbgoqRYUFGRxXLZsWRclEcnY1qxZg4eHB3O++YYJQBhQLpnxWwBvYBowbtw44uLiqFevnjOiiguouCgiIs5mMBiYNWuWzSWR7t27R8+ePTU9WkRc7sKFCwwbNsxmX8+ePWnatKmTE2VcKi5KqpjNZqsFm5988kkXpRHJmM6cOYPBYKBdu3Y0B+KAoSmcUxhoAdSoW5fIyEhGjhypXc8yuMQf7Pz1118uSiIiIplJ/vz5mT17ts2+HTt2MGfOHCcnEhH5n7i4OLp3705kZKRVX9GiRZk0aZILUmVcKi5KqgQHB1vtFF2qVCkXpRHJWCIiIqhYsSKlS5emOPHrKm5O4ZyGxE+Bvk78eqj79+/Hx8fH0VElDbB156LuFhEREWd47bXX6Ny5s82+IUOGcP78eScnEhGJN2PGDPbv32+zb/78+eTIkcPJiTI2FRclVRK/UfD29qZw4cIuSiOSMZjNZkaNGoWvry9n/viD/cClFM75mPii4h5g8+bNmM1mihcv7uiokoY8/fTTFsehoaGEhYW5KI2IiGQ206ZNo1ChQlbtERERdO/eHZPJ5IJUIpKZnT17lvfff99m31tvvUWjRo2cnCjjU3FRUiVxcfGJJ57AzU0/TiKptW3bNtzc3AgICGAkcB+om8z4I0BWYCwwbNgwTCYTzZs3d0ZUSWOKFCli9fv333//dVEaERHJbHLlysX8+fNt9h04cEA7sYqIU5lMJrp37879+/et+ooXL86ECRNckCrjUzVIUuXChQsWx5oSLZI6V69exWAw0LRpU+oRPwV6XArnlAKeB0qWK0dYWBjjx49XcT8T8/T0tLpjRMVFERFxppdffpk+ffrY7Bs1ahSnT592ciIRyaymTp3KwYMHbfYtWLCA7NmzOzlR5qC/RiVVLl26ZHGs4qLIo4mKiqJhw4YUK1YMf8AE/JjCOa2JnwJ9ATh16hQnT57E19fXwUklPUg8Ff7WrVsuSiIiIpnVxIkTKVmypFV7dHQ0Xbp0ITY21gWpRCQz+euvv/jggw9s9vXv358GDRo4OVHmoeKipEpQUJDFcdGiRV2URCR9MZvNTJgwAR8fHw7s2cN64AbJ/zKe+v/9G4Hly5djNputdgiWzK1YsWIWxzdv3nRREhERyayyZ8/OwoULMRgMVn3Hjh3jiy++cEEqEcksTCYT3bp1s9p4FuKXcdPvIMdScVFSJXFxsWDBgi5KIpJ+HDx4EDc3N4YPH05fIIb4uxGTcg7wAwYBPXr2JDY2lo4dOzo+qKQ7iYuLunNRRERc4YUXXmDQoEE2+8aMGUNgYKBT84hI5jFp0iSOHDlis2/hwoWa8eVgKi5KqiQuLtraIU5E4t28eRNvb2/q1KlDFeLXVZyVwjnlgacAn/z5uX37NvPmzcPd3d3hWSV9SjwtWmsuioiIq3z++eeULl3aqj02NpYuXboQHR3tglQikpGdOnWKjz76yGbfwIEDqVevnpMTZT4qLsoji4yM5N69exZtunNRxJrRaKRdu3b4+/uTLSaGm8CvKZzTlfh1FU8SP4UoODiY3LlzOzyrpG+JP+AJCQlxTRAREcn0fHx8WLJkic3N5k6cOMHnn3/uglQiklHFxsbStWtXYmJirPqefPJJxo1LabtMsQcVF+WRJb5rEXTnokhic+fOxcvLi3Vr1jAPuAPkS2b8UsADWALMnDkTs9lM1apVnRFVMoB8+Sx/ukJDQ12UREREBKpXr87IkSNt9k2YMIGzZ886OZGIZFTjx4/n2LFjVu0Gg4FFixaRNWtWF6TKfFRclEeWuLiYLVs2becu8v8CAwMxGAz06dOHDkAs0DOZ8SFAXqAL0OrVV4mOjqZfv35OSCoZSeLiYnR0NJGRkS5KIyIiAqNHj6ZChQpW7SaTiWnTptncdEFE5FGcOHGCTz75xGbf4MGDqV27tnMDZWIqLsojS7wLaYECBVyURCTtCAkJoXDhwlSuXJkyxK+ruCKFc2oAuYC7bm4EBQWxbt06vLy8HJ5VMp68efNatWlTFxERcSUvLy8WL16Mh4eHVd/Vq1cZM2aMC1KJSEZhNBrp2rUrRqPRqq906dJ8+umnLkiVeam4KI8s8VpeuXLlck0QkTTAZDLRt29fcuXKRej165wCTqdwzkDi11U8Cvz444+YTCYV6eWx5MyZ02rDn9u3b7sojYiISLxKlSolucnC5MmTOXz4sJMTiUhGERAQwG+//WbV7ubmxqJFi/Dx8XFBqsxLxUV5ZImLizlz5nRJDhFXW7NmDR4eHsz55hsmAGFA2WTGbwG8gWnAuHHjiIuL085lmcT333/P1atXHfb8BoPB6u5F7RgtIiJpwciRI6lSpYpVe1xcHN26deP+/fsuSCUi6VlgYGCSdyYOGzaM559/3smJRMVFeWSJd4pWcVEymzNnzmAwGGjXrh3NgThgaArnFAZaADXq1iUyMpKRI0diMBgcnlXShvXr11OqVCnefvtthxUZE6+7qGnRIiKSFnh6erJ48WI8PT2t+s6cOcOHH37oglQikl7FxMTQtWtXYmNjrfrKlSuX5BqM4lgqLsojS3znYo4cOVwTRMTJIiIiqFixIqVLl6Y48esqbk7hnIbET4G+Dly6dIn9+/frFv1Mymg0MmvWLIcVGRNvrBUREWHX5xcREUmt8uXLJ7nG4uTJk/npp5+cnEhE0qvPPvuMP/74w6rd3d2dxYsXkyVLFhekEhUX5ZFpWrRkNmazmVGjRuHr68uZP/5gP3AphXM+Ib6ouAfYvHkzZrOZ4sWLOzippAeOKjJmy5bN4ljFRRERSUuGDRvGc889Z9VuNpvp3r27/t0SkRT9+uuvjBs3zmbfyJEjqVatmpMTyQMqLsojU3FRMpNt27bh5uZGQEAAI4H7QN1kxh8BsgJjiH8TbTKZaN68uTOiSjpj7yKjiosiIpKWeXh4sHjxYry9va36zp07x8iRI12QSkTSi+joaLp27YrJZLLqq1ChQpKbR4lzqLgojyzxH6yJ/6AVyQiuXr2KwWCgadOm1CN+CrTtz8j+pxTwPPDEM88QFhbG+PHjcXPTr1lJnr2KjCouiohIWle2bNkkp0dPnz6dffv2OTeQiKQbY8aM4eTJk1btHh4eLFq0CC8vLxekkgf0V688spiYGItjW58+iqRXUVFRNGzYkGLFiuEPmIAfUzjnVeKnQF8ATp8+zZ9//omvr6+jo0oG87hFxsTFxcjISHvGExERsYuBAwdSunRpm33du3cnPDzcyYlEJK07evQoX375pc2+Dz/8kMqVKzs5kSSm4qI8MqPRaHGsTwgko5g8eTI+Pj4c2LOH9cANkv8lOfX/+zcAy5cvx2w2U6ZMGScklYwstUVG3bkoIiLpgbu7O++++67NTRcuXbrE8OHDXZBKRNKqqKgounbtSlxcnFVfpUqVGDVqlAtSSWIqLsojS3znooqLklGMHTuWvkAM0DqZcecAP2AQ0KNnT2JjY+nYsaPjA0qm8qhFxqxZs1oc379/35HxREREUq1w4cJ89tlnNvtmzZrFrl27nJxIRNKq0aNH89dff1m1e3p6snjxYjw9PV2QShJzSnHx66+/pkSJEmTJkoUaNWpw9OjRZMevWbOGMmXKkCVLFp599ll++OEHZ8SUh6TiomQUp0+fpmDBggBUzB6/ruKsFM4pDzwFZPX35/bt28ybNw93d3cHJ5XM7GGLjInX97T16a6IOI7e74o8mgEDBlC3ru1t8nr27EloaKiTE4lIWnPo0CEmTpxos+/jjz+mQoUKTk4kSfFw9AusWrWKwYMHM3v2bGrUqMGUKVNo0qQJf//9N/nz57caf+jQITp06EBAQAAtWrRgxYoVtG7dmuPHj1O+fHlHx5WHoOKipHeRkZHUrl2bwMBAcuSEPpNhTRcIegYK3rB9Tldgyf9/Xa1aNbJnz06bNm2clDhjMJvN3L59mylTpmAwGFwdx6n27t372M/xoMg4b948evXqxciRIylatGhCf+JrajabH/s1ReTh6P2uyKNzc3Nj4cKFVKhQwWqd4CtXrjBkyBDmzp3ronQi4mqRkZF069bN5nvaqlWrMmLECBekkqQ4vLj41Vdf0bt3b7p37w7A7Nmz2bJlCwsWLOD999+3Gj916lRefvllhg0bBsCnn37Kzp07mTFjBrNnz37o142IiLC5joc8vqioKItjk8mktb0cxGg0EhUVRUREhG73tpOFCxfyzjvvgDs8PQ/O9IQ5/9/3weewoKfl+KVAd+I3dnng2LFjzgkrYsN/i4xdu3Zl6NChFClShNjYWItxMTEx+t3sILqukpir3u9C/M+jrTvo//tzqvcRj0/vyeznv9eyQIECfPrppwwZMsRq3Lx582jevDmNGjVyQcr0QT+X9qNraT/2upbvv/8+Z8+etWr39PRk1qxZREdHEx0d/ThR0zxX/1w+0nteswNFR0eb3d3dzevXr7do79Kli7lVq1Y2zylatKh58uTJFm2jR482V6hQweb4qKgo87179xIeV69eNRM/u1EPPfTQw/ajA+ak/u9oNcxmMN8Fcx5X59RDDz3S9OPevXv2eLsk6Zwz3u+azXrPq4ceeuihhx56uObxMO95Hbrm4q1btzCZTPj7+1u0+/v7c+OG7bmHN27ceKTxAQEB5MiRI+Hx3yliIiIWyhD/63FF0kNWtYcaQC7gtnNSiYhIOuaM97ug97wiIiKSdjl8WrSjjRw5ksGDBycch4aGUrRoUc6fP0/u3LldmCzjeu655zh37lzC8aJFi3jllVdcmCjjMhqN7NmzhwYNGuj2/EdkMpkYOnQoixYtAl/gKFA2+XNatIJJm5wQTuQxZc+enb59+9KvXz9y5coFwPjx4wkICEgY07RpU1asSKaSLql2584dSpUq5eoYkskk9Z738uXL+Pn5WY2PiIigSJEiAFy8eJGcOXM6K2qGpPdk9pPUtVy4cKHFz/h/ffvtt7z88svOiphu6OfSfnQt7edxr+WIESOYM2eOVbuXlxf79++ndOnS9oiZLrj65zI0NJTixYs/1FiHFhfz5s2Lu7s7wcHBFu3BwcEUKFDA5jkFChR4pPHe3t54e3tbtefIkUNvohwk8fXOkiWLrrWDGI3GhOurf+Qe3urVq2nfvj0YgPHAsOTHF9sCQa/B5hjo0KEDy5Yts9p5Vx6f0Wjkhx9+oFmzZpnu57l79+7xhe7H5Ofnx8CBAxk0aJDVB2iJ1xn28vLS72YHMZlMKQ+STMMZ73ch6fe8OXPmtFlc/O/v2Zw5c+r3wWPSezL7SepaDho0iK1bt7Jz506rc9577z0aN26sm0cS0c+l/eha2s/jXMt9+/bZLCwCjBs3jho1atgjYrrh6p/LR/mb2KF/PXt5eVG1alV2796d0BYXF8fu3bupWbOmzXNq1qxpMR5g586dSY4X50u8aLj+yJK04u+//8ZgMMQXFpsBcaRYWKQwXGkBxhg4f/48K1asUGFR0hw/Pz8++ugjLl68yNixY23+cZV4sy0fHx9nxRPJ1PR+V8Q+DAYD8+fPt1ksv3HjBu+++64LUomIs4SHhydsjJZYrVq1GDRokHMDySNx+F/QgwcPZu7cuSxevJjTp0/Tr18/IiIiEn5ounTpwsiRIxPGDxw4kG3btjFp0iT++usvPvnkE44dO8aAAQMcHVUekoeH5Q2viXcoFXG2iIgIKlasSJkyZaA48esqbknhpIbE39l4/X9N+jRc0pqHKSo+cP/+fYvjxHcyiojj6P2uiH0ULVqUyZMn2+xbvnw569evd3IiEXGW4cOHc+nSJat2Hx8fFi5caHWTk6QtDi8utm/fnokTJzJ69GgqVapEYGAg27ZtS1jE+sqVKwQFBSWMr1WrFitWrGDOnDlUrFiRtWvXsmHDBsqXL+/oqPKQEhcXjUaji5JIZhcXF8eoUaPw9fXljzN/wH7gUgonfUJ8UXEPbN68mfDwcEfHFHlkj1JUfCDxnYsqLoo4j97vithP9+7dadq0qc2+vn37cuvWLScnEhFH27VrF7NmzbLZFxAQwNNPP+3kRPKonLKhy4ABA5L8JHbfvn1WbW3btqVt27YOTiWplS1bNovjiIgIFyWRzGzbtm3/e+M5EhiXwglHgPrAfRg6dChffvklbm5u+vmVNCW5NRVTomnRIq6l97si9mEwGJg7dy7PPPMM9+7ds+i7efMmAwYMYOXKlS5KJyL2FhoaSs+ePW321a1bl3feecfJiSQ10v1u0eJ82bNntzgOCwtzURLJjK5cufK/HavqAT8+xEmlgAtQrlw5fv75Z6ufYRFXe5yi4gOJp0Xb2vhBREQkPShcuDDTpk2ja9euVn2rVq3i9ddfV3FeJIMYOnQoV65csWrPmjUrCxcu1Hr46YT+vySPLHFhJjQ01EVJJDOJioqiYcOG8YVFf8BEyoXFV4mfAn0BTp06xcmTJ1VYlDQlNdOfk6I7F0VEJCN58803admypc2+fv36We24LiLpz/bt25k7d67NvvHjx1OqVCknJ5LUUnFRHpnuXBRnMpvNjB8/Hh8fH/Yc2APrgRsk/9tr6v/3b4hf/NtsNlO2bFlnxBV5KPYsKj6Q+IOexEtYiIiIpCcGg4E5c+bY/Dfy9u3b9OvXD7PZ7IJkImIPISEhSU6Hrl+/Pv369XNyInkcKi7KI/Pz87M4VnFRHOXgwYO4ubkxYsQI6AvEAK2TOeEc4AcMgh7de2A0GunYsaMTkoo8HEcUFR+4c+eOxbF2PxcRkfSuQIECzJgxw2bf+vXrtfaiSDo2ePBgrl27ZtXu6+vLggULNB06ndGai/LINC1aHO3mzZsULVqUmJgYqAL8+hAnlQdOQv78+Tl96bQKK5Km5MiRg48++uix1lRMye3bty2O9d+AiIhkBG+88QZr165l3bp1Vn39+/fnxRdfpGDBgi5IJiKptWXLFhYuXGizb+LEiZQoUcK5geSxqRQsjyzxnYshISGuCSIZjtFopF27dvj7+xOTLQZuknJhsSvx6yqehGPHjhEcHKyiiqQ5X331ld3vVExMdy6KiEhGZDAYmDVrFnnz5rXqu3v3Lm+99ZamR4ukI3fv3qV37942+1566SX69Onj5ERiDyouyiPLly+fxfHNmzddlEQykrlz5+Ll5cWa79bAPOAOkC+ZE5YSf+/1Evj666+Ji4ujatWqTskq8qgcPa0jKiqKyMhIi7ZcuXI59DVFREScJX/+/MycOdNm36ZNm1i6dKmTE4lIar377rsEBQVZtWfPnp358+djMBhckEoel4qL8sj8/f0tjrVTmzyO3377DYPBEP8JVQfid4G2va5vvBAgL9AFWrdsTXR0NG+//bb+EZJM7e7du1ZtefLkcUESERERx2jbti3t27e32ffuu+/aXLtNRNKW9evXs2zZMpt9kydPplixYk5OJPai4qI8ssTFxbt37xIdHe2iNJJehYSEULhwYapUqQJlADOwIoWTagC5wO2uG0FBQaxfvx4vLy/HhxVJ4xKvtwiQM2dO5wcRERFxoBkzZpA/f36r9nv37tG7d29NjxZJw/7991/eeustm30vv/wyPXr0cHIisScVF+WRJS4ugqZGy8MzmUz07duXXLlycT30OpwCTqdw0kDi11U8Cvv27cNkMlGgQAHHhxVJJ65fv25x7Ofnh4eH9mwTEZGMJW/evMyePdtm39atW5PcIEJEXMtsNtOvXz/+/fdfq74cOXIwd+5czURL51RclEeWO3du3N3dLdo0NVoexurVq/Hw8OCbOd/AeCAMKJvMCVsAb2AajBs3jri4OF544QWnZBVJT/755x+LY02JFhGRjOrVV1+lU6dONvvee+89rly54uREIpKSlStX8t1339nsmz59OkWKFHFyIrE3FRflkbm5uVlNR1BxUZJz5swZDAZD/Do5zYA4YFgKJxUGWkDdGnWJjIxk5MiR+jRLJAkqLoqISGYybdo0m7NYQkND6dWrl6ZHi6Qh169fp3///jb7XnnlFTp37uzkROIIKi5KqiT+xzzxH7YiABEREVSsWJHSpUtDceLXVdySwkkNiZ8CfR0uXrzI/v378fHxcXhWkfRMxUUREclMcufOzdy5c2327dy5kzlz5jg5kYjYYjab6d27d5KbD37zzTe6gSSDUHFRUqV48eIWxxcvXnRREkmL4uLiGDVqFL6+vvxx5g/YD1xK4aRPiC8q7oFNmzZhNpspUaKEg5OKZAyJd8hUcVFERDK6Fi1a0K1bN5t9Q4YM0d8nImnAwoUL+eGHH2z2zZo1y+Z+DpI+qbgoqVKyZEmLY/3jLQ9s27YNd3d3AgICYCRwH6ibzAlHgKzAGBg6dCgmk4kWLVo4JatIRqE7F0VEJDOaPHkyhQsXtmqPiIigZ8+exMXFuSCViABcvnyZQYMG2ex74403aNu2rXMDiUOpuCipkviOskuXLrkkh6QdV65cwWAw0LRpU6hH/BTocSmcVAp4HsqWKEtoaCgTJkzAzU2/lkQehdls5vLlyxZtKi6KiEhmkDNnTubNm2ezb+/evcyaNcvJiUQE4mey9enTh7CwMKu+AgUKMGPGDBekEkfSX/GSKomLi7pzMfOKioqiYcOG8VPl/QET8GMKJ7Umfgr0BTh16hSnTp0ie/bsjo4qkiHdunWLe/fuWbQVLFjQRWlERESc6+WXX6ZXr142+4YPH865c+ecnEhEtm3bxt69e232zZkzRx+EZ0AqLkqqJF5z8d9//yU8PNxFacQVzGYz48ePx8fHhz0H9sB64AbJ/1aZ+v/9G2H58uWYzWbKli3rlLwiGdWZM2csjr28vMibN6+L0oiIiDjfpEmTKFasmFV7ZGQk3bt31/RoESc6e/YsixcvttnXvXt3WrZs6eRE4gwqLkqq2NpoQ3cvZh4HDx7Ezc2NESNGQF8ghvi7EZNyDvADBkGP7j0wGo107NjRCUlFMr6zZ89aHD/xxBO4u7u7KI2IiIjz+fn5MX/+fJt9P/30E9OmTXNyIpHMyWQy0atXL6Kjo636ihYtyuTJk12QSpxBxUVJlaxZs5I7d26Ltr/++stFacRZbt68ibe3N3Xq1IEqxK+rmNJSNuX/r707j4/p+v84/p6sttpJhFQtrWiJtSX22im1t4iiilq/tVQtLaqlSjelSi0ViiotvrYGpZaqNb4ptVXsS0MtEQmyzu+P/KSdZrKNZG4meT0fjzzqnnPvzDunIzKfueccSU9KxXMX182bN7Vw4UK5uLhkflggh/j3nYtPPvmkQUkAADBO06ZNNXDgQKt9Y8eOTfLvJYCM9+mnn2rv3r1W+77++msVKFDAzolgLxQXYTNvb2+L42PHjhmUBJktJiZGL730kjw8PBSdN1q6LikolYt6KWFdxWPSoUOHdO3atSQFaQCPjuIiAAAJpk+fbnWG1YMHD9S7d2/FxcXZPxSQQxw7dkzvvPOO1b6BAweqadOmdk4Ee6K4CJtRXMwZ5s+fLzc3N636YZW0QNItScVSuOAbSS6SlkizZ89WfHy8atSoYZesQE7072nRFBcBADlVvnz5tGjRIqt9e/fuZUomkEliYmLUq1cvRUdHJ+krW7aspk+fbkAq2BPFRdjs34smHz9+3KAkyAzBwcEymUzq37+/1E0Ju0C/lsIFYZKKSuoptW/bXlFRURo0aJBMJpM94gI5UkxMTJIlKSguAgByskaNGmno0KFW+9555x3eswCZYPLkyQoKSjq1zWQyKSAgQPny5TMgFeyJ4iJs9u/i4h9//GH1kwo4lrCwMJUsWVLVqlWTfJSwruLyVC6qJamQZLpl0tWrV7VmzRq5ubllflgghzt58mSSn7uVK1c2KA0AAFnD1KlTVb58+STtUVFR6t27t2JjYw1IBWRP+/bt05QpU6z2DR8+XPXr17dzIhiB4iJsVqpUKYvj2NjYJNPz4Dji4uI0YMAAFSpUSFfDr0rHJZ1I5aI3lLCu4gFpx44dio+PV4kSJTI/LABJ0m+//WZx/Pjjj6tQoUIGpQEAIGvImzevFi1aZHUGzcGDB5miCWSQiIgIvfLKK1bXM61QoYImT55sQCoYgeIibJYvXz55eXlZtB05csSgNHgUK1eulIuLi76a95U0XdJdSRVTuGCjJHdJM6UPPvhA8fHxatiwoV2yAvhbcHCwxXHVqlUNyQEAQFZTr149DR8+3Grfu+++q//97392TgRkP2+++aZCQkKStDs7OysgIEC5c+c2IBWMQHERj6RKlSoWx4cOHTIoCWzxxx9/yGQy6eWXX5ZaS4qXNCqVi0pKaiPVe66e7t27p7Fjx7KuImCQfxcX//0zGQCAnGzy5Ml66qmnkrTHxMTI399f9+/fNyAVkD1s3LhRX331ldW+l19+mU09cxiKi3gk//6BQXHRMURGRqpKlSqqUKGCVFoJ6ypuTOWiJkqYAn1VOnfunHbv3s0nUYCBzGZzkmnR3LkIAMDfcufOrcWLF8vJKenb3hMnTmjMmDEGpAIc319//aXXXrO+22ft2rXVqVMnOyeC0Sgu4pH8u7gYFBRkdb0FZA3x8fEaN26c8uXLpyN/HJF2SzqfykUTlVBU3C6tX79eZrNZTzzxRGZHBZCKK1eu6MaNGxZtFBcBALBUu3btZIuIM2fO1ObNm+2cCHBsZrNZ/fv317Vr15L05c2bV19//bWcnZ0NSAYjUVzEI/l3cTEyMlKnTp0yKA1SEhgYKGdnZ02dOlUaK+m+pHopXLBfUh5J7yWspREXF6c2bdrYJSuA1O3du9fiuECBAhT+AQCwYuLEiclO0ezdu3eSD+sAJC8gIEBr16612vfZZ59Z3akd2R/FRTwST0/PJLtGHzx40KA0sObixYsymUxq1aqV1EAJU6A/SOWicpJqSxWfqKjw8HB99NFHVqeTADDOv4uLtWvX5u8pYIBbt27J399f+fPnV8GCBfXaa68pIiIixWsaNWokk8lk8TVgwAA7JQZyHjc3Ny1dutTqkj6hoaF6/fXXZTabDUgGOJZz587pP//5j9W+tm3bqm/fvnZOhKyCdyF4ZM8++6zFMcXFrOHBgwdq0qSJSpcuLXlIipO0M5WL2ithCvRZ6fjx4zp+/Lgee+yxzI4KwAa//vqrxXGdOnUMSgLkbP7+/jp27Ji2bt2qDRs2aNeuXerfv3+q1/Xr109//vln4tf06dPtkBbIuXx8fPTxxx9b7Vu9erUCAgLsGwhwMHFxcerZs6fVD9CKFSum+fPns9FnDkZxEY/s38XFX375xaAkkBLWwJg+fbpy586t7bu3S2skhSrlv+2f/3//f6Vly5bJbDarYsWKdskLIP3u37+vw4cPW7RRXATs78SJEwoMDNSCBQtUq1Yt1atXT7NmzdKKFSt09erVFK/NkyePPD09E7/y589vp9RAzjVw4MCE2TxW/Oc//9HZs2ftnAhwHB999FGy7/UXLFggDw8POydCVuJidAA4vnr1LBfuO3LkiG7fvq1ChQoZlCjn2rNnz9//PwZImpPKBSGSqku6K/Xp00dfffWVXFz4sQBkdUFBQYqJiUk8dnJy0nPPPWdgIiBn2rt3rwoWLKiaNWsmtjVt2lROTk7av3+/OnTokOy1y5Yt09KlS+Xp6am2bdtq/PjxypMnT7LnR0VFKSoqKvE4PDxckhQTE2Px8+Chf7Yldw7S7uH4MY6Pzuix/Oqrr1S9evUk6yxGRESoR48e2rZtm8P8Pmz0WGYnjGXKgoKCNH78eKt9ffr0UatWrZKMIWP56Iwey/Q8r2P81ESW9txzzylXrlx68OCBpIQ753755Re1bdvW4GQ5x/Xr1+Xt7a3o6OiEYmFQGi6qJOlYwi3sJ8+fVOHChTM5JYCM8u8p0ZUqVeKuJ8AAoaGhKl68uEWbi4uLChcurNDQ0GSv6969u0qXLi0vLy8dOXJEo0eP1qlTp7R69epkr5k6daomTZqUpH3Lli1Wi5IPfy+TpO3btytXrlxp+ZaQiq1btxodIdswciz79euXsMnhv+zdu1d9+/bVSy+9ZEAq2/G6zDiMZVL379/XiBEjFBsbm6TPw8NDzZo106ZNm5L0MZYZx6ixvHfvXprPpbiIR+bu7q7atWtrx44diW07d+6kuGgHMTEx8vf316pVq6RCki5LKpbKRb0kLUn446FDh5LdOQ9A1rVr1y6LY6ZEAxlrzJgxmjZtWornnDhxwubH/+eajJUrV1aJEiXUpEkTnTlzRuXKlbN6zdixYzVixIjE4/DwcHl7e6t58+ZWP1yIjIxM/HPjxo1VsGBBm/Mi4XeurVu3qlmzZnJ1dTU6jkPLCmPZunVrXb9+XQsXLkzS991332nw4MFJln7KirLCWGYXjGXyHq4R/G9OTk5auXKl/Pz8LNoZy4xj9Fg+nCWRFhQXkSEaNmyYpLiIzDV//vyENydOkhZIei2VC76R9KqkOGn27NkaOHAgC+4CDigmJsbi560kNWjQwJgwQDY1cuRI9e7dO8VzypYtK09PT12/ft2iPTY2Vrdu3ZKnp2ean69WrVqSpJCQkGSLi+7u7nJ3d0/S7urqavUNxz/bkjsH6cdYZhyjx3LGjBnauXOnQkJCLNrj4uLUq1cvHT582GE2NjR6LLMTxtLSd999p8WLF1vte/vtt1P8HZSxzDhGjWV6npPiIjJEw4YNLY4PHz6s8PBwpullguDgYFWrVi3hoJuk5alcECapvKSbUrt27bRy5Uq5ubllakYAmWf//v0WdyRJUpMmTQxKA2RPxYoVU7FiqU0FkPz8/BQWFqagoKDEmQDbt29XfHx8YsEwLYKDgyVJJUqUsCkvgPTLly+fli5dqrp16youLs6iLyQkRIMHD9aSJUsMSgcY7/z583r99det9vn5+WnChAl2ToSsjN2ikSFq165tUdWOj49PMm0PjyYsLEwlS5ZMKCz6SDIr9cJiLUmFJNMtk65evaq1a9dSWAQc3E8//WRxXKVKlSRrvgGwj4oVK6ply5bq16+fDhw4oD179mjIkCHq2rWrvLy8JElXrlyRj4+PDhw4IEk6c+aM3n//fQUFBen8+fNat26devbsqQYNGsjX19fIbwfIcWrVqpXsJhXffPONvvnmGzsnArKG2NhY+fv7686dO0n68ufPr2XLljnMxkewD4qLyBC5c+dOstZCYGCgQWmyl7i4OA0ePFiFChXS1TtXpWOSUlvm6Q1JJkkHpB07dig+Pp67IYBs4t/FxaZNmxqUBICUsOuzj4+PmjRpotatW6tevXqaN29eYn9MTIxOnTqVuCi6m5ubfvrpJzVv3lw+Pj4aOXKkOnXqpPXr1xv1LQA52ttvv53kfcxDgwYN0unTp+2cCDDe5MmTk2wg+NDcuXNVpkwZOydCVkepGRmmZcuWFncr/vjjjzKbzazr9whWrVolf3//hELhdEmjUrlgo6SOkqKlKVOmaOzYsYw/kI2Eh4dr3759Fm0UFwFjFS5cWMuXJz+V4IknnpDZbE489vb2Zm1qIAtxcXHR8uXLVbVq1SR3aUVERKhbt2769ddfmf2DHOOXX37R+++/b7WvV69e6tatm50TwRFw5yIyTKtWrSyOz549yyd9Nvrjjz9kMpkSCoutJcUr9cJiSUltpHrP1dO9e/c0btw4CotANrNz506LdaFcXV1Vv359AxMBAOD4nnjiCc2fP99qX1BQkMaNG2fnRIAxbt++LX9/f8XHxyfpK1++vGbNmmVAKjgCiovIMFWqVEky9fbHH380KI1jioyMVJUqVVShQgWptBLWVdyYykVNlHBn41Xp3Llz2r17t3Lnzp3pWQHY37+nTdapU0d58+Y1KA0AANlHly5d1K9fP6t9n3zyCUs+Idszm80aMGCALl68mKTv4R2+jrKDOuyP4iIyjMlkUsuWLS3aKC6mTXx8vMaNG6d8+fLpyB9HpN2Szqdy0UQlFBW3JxQczGaznnjiicyOCsAg8fHxSYqLbdq0MSgNAADZz4wZM1SxYkWrfb169VJoaKidEwH2s2jRIq1cudJq3+TJk/Xss8/aOREcCcVFZKh/T43esWOHIiMjDUrjGAIDA+Xs7KypU6dKYyXdl1QvhQv2S8oj6T3pzTffVFxcHAUGIAc4ePBgkjc17dq1MygNAADZT548efTdd9/J3d09Sd/169f1yiuvWJ0uCji6Y8eOaciQIVb7GjdurFGjUlujCzkdxUVkqGbNmsnZ2TnxOCoqSps3bzYwUdZ16dIlmUymhIJsAyVMgf4glYvKSaotVXyiosLDw/XRRx/JyYm/xkBOsG7dOotjHx8fPfnkkwalAQAge6pcubI+/fRTq30//fSTPv74YzsnAjJXRESEunTpovv37yfpK1KkiJYsWcJ7TqSKVwgyVMGCBdWoUSOLtu+//96YMFnUgwcP1KRJEz3++OOSh6Q4SaltGtleCVOgz0rHjx/X8ePHWe8CyGH+XVzkrkUAADLHwIED1b59e6t9b7/9tvbv32/fQEAmMZvNGjRokE6cOGG1f+HChSpZsqSdU8ERUVxEhuvcubPF8fr16/XgwQOD0mQdZrNZ06dPV+7cubV993ZpjaRQpfy3cMb/9/9XWrZsmcxmc7LrwADIvs6ePavff//dou3FF180KA0AANmbyWTSwoULVapUqSR9sbGxevnll3Xr1i0DkgEZa9GiRfrmm2+s9g0ZMoQPs5FmFBeR4dq3by+TyZR4HBERoS1bthiYyHh79uyRk5OTRo8eLQ2QFK2EuxGTc1pSfknDpSaNm+jevXvq3r27PaICyIL+fQd4sWLFVKtWLYPSAACQ/RUuXFjLli2zOh30woUL6tmzJ+svwqEdPXpUgwcPttpXs2ZNlgBAulBcRIbz9PRU/fr1Ldpy6tTo69evy93dXfXq1ZOqK2FdxTmpXFRJ0lNSsVzFFBoaqqFDh8rFxSXzwwLIspYvX25x3K5dO4v1bQEAQMZr0KCBxo8fb7Vv48aNmjZtmp0TARnj7t276tKli9UZhgUKFNDKlSutbmwEJIfiIjLFv6dGr1u3TtHR0Qalsb+YmBi99NJL8vDwUHSeaOmapKBULuqlhHUVj0mHDh3S9evXVbhw4cwPCyBLO3HihH777TeLtm7duhmUBgCAnOWdd95Jsqb8P/t27Nhh1zzAozKbzRowYIBOnTpltX/RokUqU6aMnVPB0VFcRKbo2LGjxfGdO3cUGBhoUBr7mj9/vtzc3LTqh1XSQkm3JRVP4YIlklwS/jt79mzFx8erRo0adskKIOv79ttvLY5LlCihhg0bGpQGAICcxcXFRd9++608PT2T9MXHx6tr1676888/DUgG2GbBggVJZsU8NGzYMHXo0MHOiZAdUFxEpihZsqTq1q1r0bZkyRKD0thHcHCwTCaT+vfvL3VTwi7QfVK44LakIpJ6Se3atFNUVJQGDRpksV4lgJzNbDYnKS6+/PLLTIkGAMCOPD09tWLFCqvrL167dk1du3ZVbGysAcmA9Pntt980dOhQq33PPfccU/1hM4qLyDSvvPKKxfH69euz5a5qYWFhKlmypKpVqyb5KGFdResfBP2tlqTCkum2SVevXtXatWvl5uaW+WEBOJSgoCCFhIRYtDElGgAA+2vYsKE++OADq327du1Kdm1GIKsIDw9Xly5dFBUVlaSvYMGCWrlyJe9JYTOKi8g0L730ksUisNHR0fruu+/s9vzx8fG6fPlypj1+XFycBgwYoEKFCunqnavSMUknUrnoDSWsq3hA2rFjh+Lj41WiRIlMywjAsS1dutTiuFy5cnr22WcNSgMAQM42atQotWnTxmrfhx9+qPXr19s5EZA2ZrNZffv21enTp632L168WKVLl7ZzKmQnFBeRaQoVKqQXX3zRom3x4sV2e/6FCxeqb9++MpvNGf7YK1eulIuLi76a95U0XVKEpKdTuGCjJHdJM6XJkycrPj6eNdMApOjBgwf65ptvLNq6du3K0gkAABjEyclJixcv1hNPPGG1v2fPnjp37px9QwFp8Mknn2jVqlVW+0aOHJnkfTuQXhQXkal69eplcbx///5kd6XKSDdu3NCYMWO0efNmbdq0KcMe948//pDJZNLLL78stZYUL2lUKhd5SWoj1Xuunu7du6e3336b4gCAVK1duzbJUhK9e/c2JgwAAJAkFS5cWKtWrbI6fTQsLCzZaaeAUbZv367Ro0db7fPz89PUqVPtnAjZEcVFZKoWLVqoeHHLrZIDAgIy/XnHjBmT+KZ8+PDhio6OfqTHi4yMVJUqVVShQgWptBLWVdyYykVNlDAF+k/p3Llz2r17t3Lnzv1IOQDkHAsWLLA4fv7551W+fHmD0gAAgIdq1qypGTNmWO0LCgpKdsMMwN4uXbqkl19+WfHx8Un6ChcurBUrVsjV1dWAZMhuKC4iU7m4uMjf39+ibeHChZn6ad7evXu1cOHChINXpdNnT+uLL76w6bHi4+M1btw45cuXT0f+OCLtlnQ+lYsmKqGouD1hExuz2Zzs1AkAsObs2bPatm2bRVvfvn0NSgMAAP5twIAB6t69u9W++fPn66uvvrJzIsDSgwcP1KlTJ924cSNJn5OTk1asWKHHH3/cgGTIjiguItP169fP4vivv/7S6tWrM+W5YmNjNWjQoISDmpLmSxogTZo0SdevX0/XYwUGBsrZ2TnhNvGxku5LqpfCBfsk5ZH0XsK6FXFxccku+AwAKfn6668tjgsVKqSOHTsalAYAAPybyWTSV199pYoVK1rtHzp0qPbs2WPnVMDf/vOf/+jgwYNW+6ZMmaJmzZrZORGyM4qLyHQVK1ZUo0aNLNq+/PLLTHmuOXPmKDg4WHKTtEiSs6T3pHCXcL3zzjtpeoxLly7JZDKpVatWUgMlTIH+IJWLykrykyo+UVHh4eH6+OOP5eTEXy8A6RcTE6NFixZZtL3yyivKlSuXQYkAAIA1+fLl0/fff698+fIl6YuJiVGnTp105coVA5Ihp1uwYIHmz59vta9Dhw7JrsEI2IrqB+wi8W7C//fLL7/oyJEjGfocoaGhfxcQ35FU6f87Ckt6N+EHbHBwcLLXP3jwQE2aNEm4NdxDUpyknak8aXslTIE+Jx0/flzHjx/XY4899ijfBoAc7ocfftDVq1ct2l577TWD0gAAgJQ8/fTTWrx4sdW+a9euqVOnTmzwArvas2dPkvffD/n4+CggIIANRpHhKC7CLtq3by9PT0+Ltjlz5mToc4waNUrh4eFSVSVMY/6ngZK5ollvvPGGzGazRZfZbNb06dOVO3dubd+9XVojKVQp/+2Y8f/9/5WWLl0qs9mc7JQIAEiPzz//3OK4Tp068vX1NSgNAABITceOHfX2229b7du/f78GDx6c5D0IkBkuXryojh07KiYmJklfvnz5tHr1auXPn9+AZMjuKC7CLlxdXZOsvbh06VLduXMnQx5/586dWrp0qeSqhOnQLv86wUXSZ9KuXbv0/fffJzbv2bNHTk5OCbeFD5AUrYS7EZNzWlJ+ScOlV3u/qpiYmCQb1gCArfbv3699+/ZZtA0bNsyYMAAAIM0mTZqkF154wWrfwoULM21ZKOChyMhItWvXLtm9BhYvXswNMcg0FBdhN/3795ezs3PicUREhObNm/fIjxsTE6PBgwcnHIxVwp2L1jSX1DbhDscLFy7I3d1d9erVk6orYV3F1G6krCTpKalYrmK6efOmvv76a7m4/LuKCQC2+/ddi97e3urQoYNBaQAAQFo5Oztr6dKlevLJJ632v/HGG/rpp5/snAo5hdls1quvvprsMmBjx45lc0BkKoqLsJtSpUoleZP8+eefKzo6+pEe9/PPP9exY8ekykpYazEln0oX/rygJ554QtF5oqVrkoJSuaaXEtZVPCYdPHhQ169fV+HChR8pMwD825UrV7Rq1SqLtsGDB/MhBgAADqJgwYJau3at1Q1e4uLi1KVLF506dcqAZMjuJk+enOT3yIfatm2ryZMn2zkRchqKi7CrN9980+L4ypUr+vbbb21+vMuXL+vdd99NmPa8SAnTolNSXtJwSQsl3ZZUPIVzlyjhcZdIs2fPVnx8vGrWrGlzVgBIyezZsxUbG5t4nDt37iTLSQAAgKzt6aef1jfffGO1LywsTG3atNGtW7fsnArZ2erVqzVhwgSrfc8884yWLl0qJydKP8hcvMJgV7Vq1VKDBg0s2j7++GObFzgeMWKEIiMjpVGSaqTxog8l9Umh/7akIpJ6Se3atFNUVJQGDRrEjloAMs2dO3eSrMXUs2dP7pIGAMABtW/fXpMmTbLaFxISos6dO1vdcANIr8OHD+uVV16x2le4cGGtW7eODVxgFxQXYXejRo2yOP79998VGBiY7sfZsmVLwq3fT0uamEHhnpNUWDLdNunq1atau3at3NzcMujBAcC62bNnJ9ng6o033jAoDQAAeFTjx49X165drfb9/PPP7CCNR3bp0iW1adNG9+7dS9Ln7Oys77//XmXLljUgGXIiiouwu9atWyfZpWr69OnpeoyoqCgNGTJEcpb0tST3Rwz1hhLWVTwo7dixQ/Hx8SpRosQjPigApC4yMlKfffaZRVvHjh3ZzQ8AAAdmMpn09ddfq1atWlb758+frxkzZtg3FLKNO3fuqHXr1vrzzz+t9s+cOVPPP/+8nVMhJ6O4CLtzcnJKsvbijh07tGvXrjQ/xkcffaTTp08nrJ9o/d/rtNmkhMLkzIRFcOPj49WwYcNHeEAASJ/58+frxo0bFm1vv/22QWkAAEBGyZ07t9auXStvb2+r/SNHjtTq1avtnAqOLiYmRl26dNHvv/9utf/111/XoEGD7JwKOR3FRRjC399fJUuWtGibODFtc5vPnTunKVOmSE9Jev8RgyyRFC1du3ZNb7/9NusqArCrqKgoffTRRxZtrVq1UvXq1Q1KBAAAMpKnp6fWr1+vvHnzJukzm83y9/fXnj17DEgGR2Q2mzVo0CBt3brVan/z5s01a9YsO6cCKC7CIO7u7ho7dqxF244dO7Rjx45Ur33jjTf0IPpBwnToXI8Y5CNJucWUBACGWLx4sa5evWrRxl2LgGOZMmWK6tSpozx58qhgwYJpusZsNmvChAkqUaKEcufOraZNmybMyACQLVWpUkXLli2zeiPDgwcP9OKLL+rUqVMGJIOjmTZtmhYsWGC1r1KlSlq5cqVcXV3tnAqguAgDvfbaa1bvXkxpYeP169dr/fr10n8k1c2AEN6S3pI++eQTnT17NgMeEADS5sGDB3r/fcvbrxs2bKi6dTPihxsAe4mOjlaXLl00cODANF8zffp0zZw5U3PnztX+/fuVN29etWjRQg8ePMjEpACM1K5du2TXmb9165Zatmyp0NBQO6eCI1m+fHmSG3Qe8vT01MaNG1WgQAE7pwISUFyEYXLlyqVx48ZZtO3atUs///yz1fPv3bun//znP1I5SVMyMMhbUrRHdJJ1IAEgM3355Ze6fPmyRds777xjUBoAtpo0aZKGDx+uypUrp+l8s9msGTNm6J133lG7du3k6+urJUuW6OrVq1q7dm3mhgVgqJEjRyZsSmnF+fPn9cILLygiIsLOqeAIAgMD1atXL6t9efLk0YYNG/T444/bORXwNxejAyBne+211/Thhx/q0qVLiW0TJkzQ888/n2TawNSpU3X+wnnpZ0l5MjBEHknTpDXd12j79u1q3LhxBj44ACQVHh6uDz74wKKtUaNGatKkiUGJANjLuXPnFBoaqqZNmya2FShQQLVq1dLevXvVtWtXq9dFRUUpKioq8Tg8PFxSwsL+MTExSc7/Z1ty5yDtHo4f4/jocvpYfvTRR7p06ZL++9//Juk7fPiwOnfurNWrV6dpamtOH8uMlJXH8sCBA+rUqZNiY2OT9Dk5OWnp0qXy9fXNMtmz8lg6GqPHMj3PS3ERhnJ3d9e4ceMsphLt2bNH69atU7t27RLbTp8+nTCNYJCkzNjMuZukL6Vhw4bp8OHDcnHhrwaAzPPpp5/q5s2bFm1Tp05lUykgB3g47dHDw8Oi3cPDI8UpkVOnTtWkSZOStG/ZskV58iT91PWfU6y3b9+uXLkedaFqSEp2EwWkX04ey+7du+vkyZNW11ncvHmzWrZsqWHDhsnZ2TlNj5eTxzKjZbWxvHTpksaNG6d79+5Z7e/Tp4+cnJy0adMmOydLXVYbS0dm1Fgm97qzhgoKDNenTx99+OGHunDhQmLb6NGj1bp1a7m6uspsNmvIkCGK9oqWPszEIDOko88e1fz589O1bhIApMdff/2lTz75xKKtXbt2ql27tkGJAPzbmDFjNG3atBTPOXHihHx8fOyUSBo7dqxGjBiReBweHi5vb281b95c+fPnT3J+ZGRk4p8bN26c5s1mYF1MTIy2bt2qZs2asVnCI2IsEzRo0EANGjSwupnT7t27VbFiRc2aNSvFDx4Zy4yTFcfy0qVLGjp0qO7evWu1/80330wyEyYryIpj6aiMHsuHsyTSIlOLi7du3dLQoUO1fv16OTk5qVOnTvr888+VL1++ZK9p1KiRdu7cadH2+uuva+7cuZkZFQZyc3PTBx98IH9//8S2U6dOacGCBRo4cKB++OEHbdmyRfpJUvIvnUdXQ1Jvafz48eratasKFSqUiU8GIKf64IMPLNZTMplMmjx5soGJAPzbyJEj1bt37xTPKVu2rE2P7enpKUm6du2aSpQokdh+7do1Va1aNdnr3N3d5e7unqTd1dXV6huOf7Yldw7Sj7HMODl9LD09PbV582bVrl1b169fT9I/b948FS5cWFOnTk31sXL6WGakrDKWN2/eVJs2bSyWD/unPn36aPr06Vl61ktWGcvswKixTM9zZuqGLv7+/jp27Ji2bt2qDRs2aNeuXerfv3+q1/Xr109//vln4ldyu2oh++jatatq1Khh0fbuu+/qypUrGjZsmNRfUkYuRRYv6bak85J+k7RT0jpJFRN+kFubdgQAj+rUqVP64osvLNp69OihSpUqGZQIgDXFihWTj49Pil9ubm42PXaZMmXk6empbdu2JbaFh4dr//798vPzy6hvAYADKFOmjDZt2qTHHnvMav+HH36Y6l3UyH7CwsLUokULnThxwmr/iy++qK+++ipLFxaR82TanYsnTpxQYGCgDh48qJo1a0qSZs2apdatW+vjjz+Wl5dXstfmyZMn8VNd5AxOTk76+OOP9fzzzye2Xb9+XZ07d9YV5yvSx/+64K6kO//4CkvDn/95HCHJnHyeL774Qv3799fTTz/9yN8bADw0cuRIi8W43dzc+DADcHAXL17UrVu3dPHiRcXFxSk4OFiSVL58+cTZOj4+Ppo6dao6dOggk8mkYcOGafLkyXryySdVpkwZjR8/Xl5eXmrfvr1x3wgAQ9SoUUPr169Xy5YtLdZKfWjMmDEqWLCgXn/9dQPSwd7u3r2rVq1aKSgoyGp/vXr1tGLFCvYIQJaTaa/IvXv3qmDBgomFRUlq2rSpnJyctH//fnXo0CHZa5ctW6alS5fK09NTbdu21fjx460uVI3spVGjRmrbtq3Wr1+f2LZv3z6plKQG+rswGC4pLuOe12Qyyc3NLfFWY1dXV7m5uWnWrFmaM2dOxj0RgBztxx9/1MaNGy3ahg8frjJlyhiUCEBGmDBhghYvXpx4XK1aNUnSzz//rEaNGklKuGv5zp07iee89dZbioyMVP/+/RUWFqZ69eopMDCQTVeAHKphw4ZatWqVOnToYHVH4IEDByp37tzq2bOnAelgL5GRkXrhhRcS3gNbUblyZa1fv165c+e2czIgdZlWXAwNDVXx4sUtn8zFRYULF05xJ7zu3burdOnS8vLy0pEjRzR69GidOnVKq1evtnp+VFSUoqKiEo8fLjgZExPD1ueZKLO2RJ88ebI2bdqkuLi/q4dP539aPV7qkVj0e1gAdHFxsVoU/OdxWs5JaRc2o19DRm89nxP8c2z5uZG5cvLrOSYmRsOHD7do8/T01FtvvZXh45GTx9leGFv8U0BAgAICAlI8x2y2nC5hMpn03nvv6b333svEZAAcSZs2bbRkyRL5+/sn+ZlhNpsT14GlwJg93b9/Xy+++KJ2795ttb9MmTLavHkzm3Mhy0p3cTGtu+fZ6p9rMlauXFklSpRQkyZNdObMGZUrVy7J+VOnTrU6peznn3/mbkc7yIwt0Zs1a6bAwMDE4+PHjysqKirVKcqxsbFWP+nLDozaej4n+Of0k+3bt3PXiB3kxNfz+vXrderUKYu2Ll26JPsLZEbIieNsL/fu3TM6AgAgG+rWrZvu3LmjgQMHJumjwJh9RUVFqWPHjtq+fbvVfm9vb23bts1iEzAgq0l3cTGtu+d5enom2fUqNjZWt27dStd6irVq1ZIkhYSEWC0ujh07ViNGjEg8Dg8Pl7e3t55//nkVKVIkzc+D9MnMLdFr1aqlSpUq6ebNm4lty5Yt05tvvml1l8TszOit53OCyMjIxD83btyYTwMzUU59PV+7di3Jv5s1atTQRx99JCenjN9XLaeOsz39898nAAAy0oABAxQWFqaxY8cm6aPAmP08ePBAnTt3tri55p9KlCih7du3s4wOsrx0FxeLFSumYsWKpXqen5+fwsLCFBQUlLgL8Pbt2xUfH59YMEyLh4tiJ1eld3d3t1pwYttz+8iMcfb09NSHH36ofv36JbaFhIRo5syZGjduXIY+l6Pg9Zx5/jmujLN95LRxfuuttxQWFmbRNnPmzEz/sCSnjbM9Ma4AgMw0ZswY3b9/3+rSCf8sMHbr1s3OyZCRIiMj1a5dO23bts1qf/HixbV9+3aVL1/ezsmA9Mv4Wyb+X8WKFdWyZUv169dPBw4c0J49ezRkyBB17do1cafoK1euyMfHRwcOHJAknTlzRu+//76CgoJ0/vx5rVu3Tj179lSDBg3k6+ubWVGRBfXp0ydJEXry5Mm6cOGCQYkAIP0CAwP17bffWrT5+/urTp06BiUCAACO4N1339WECROs9j0sMC5atMjOqZBR7ty5oxYtWiRbWCxSpIi2bdsmHx8fOycDbJNpxUUpYSqrj4+PmjRpotatW6tevXqaN29eYn9MTIxOnTqVuHaRm5ubfvrpJzVv3lw+Pj4aOXKkOnXqZLF7MHIGJycnffnllzKZTIlt9+/f15AhQ5IscAwAWdG9e/c0aNAgi7aCBQvqk08+MSgRAABwFCaTKdUC4+uvv661a9faNxge2a1bt9S0aVPt2bPHan/BggW1detWVapUyc7JANtl2m7RklS4cGEtX7482f4nnnjColDk7e2tnTt3ZmYkOJDq1atr4MCB+vLLLxPbNmzYoG+//Vbdu3c3MBkApG7SpEk6d+6cRdtHH30kDw8PgxIBAABH8rDAKCnZ3eUDAgJUrFgxTZs2zeLGDGRN165dU7NmzXT06FGr/YULF9aWLVtUrVo1OycDHk2m3rkIPKrJkycneSM+dOhQXbt2zaBEAJC64ODgJHco1q9fX3369DEoEQAAcESp3cEoJXx4OWDAAMXFxdkxGdLr7NmzatCgQbKFRQ8PD+3YsSNxzwrAkVBcRJZWqFAhizsXpYTbyIcOHWpQIgBIWUxMjF577TWLX/BdXV311VdfZcru0AAAIHszmUyaNGlSsncvStK8efPUrVs3RUVF2TEZ0urQoUPy8/PTH3/8YbW/ZMmS2rlzpypXrmznZEDG4F0OsryOHTuqS5cuFm2rVq3S6tWrDUoEAMmbMmWKDh8+bNE2duxYVaxY0aBEAAAgOxg/frxmzZqVbP+qVavUunVr3b59246pkJpNmzapYcOGun79utX+MmXKaPfu3apQoYKdkwEZh+IiHMKsWbNUuHBhi7ZBgwbp1q1bBiUCgKQOHTqkyZMnW7RVrFhRY8eONSgRAADIToYMGaKlS5fKxcX69gnbt29XnTp1dObMGTsngzXz58/Xiy++mLiJ7b899dRT2rVrl8qUKWPnZEDGorgIh+Dh4aGZM2datF27dk2vv/46u0cDyBIePHignj17WkyHdnZ21pIlS5QrVy4DkwEAgOzE399fa9euTfb3i5MnT6p27drJ7kaMzBcfH6/x48erf//+ya6FWb16de3atUulSpWyczog41FchMPo3r272rRpY9H2/fffa/HixQYlAoC/vfPOOzpx4oRF29tvv62aNWsalAgAAGRXL7zwgn788UflyZPHav+NGzfUuHFjLVu2zM7JcPfuXXXp0iXJbJZ/atWqlXbu3Jlk81LAUVFchMMwmUz66quvkkyPHjp0qEJCQgxKBQDSrl279Omnn1q0Va9eXe+8845BiQAAQHZXt25dTZkyRSVLlrTaHx0drR49emjChAmKj4+3c7qcKSQkRH5+finuD9C3b1+tW7dO+fLls2MyIHNRXIRD8fLy0oIFCyzaIiIi1KNHD8XExBiUCkBOdvPmTfn7+1ss0eDu7q4lS5bI1dXVwGQAACC7K1OmjPbs2aPq1asne87777+vF154QTdv3rRjspxn8+bNevbZZ3Xs2LFkz3nvvfc0b968ZNfMBBwVxUU4nA4dOqhv374Wbfv379f7779vUCIAOZXZbFbv3r11+fJli/bJkyfrmWeeMSgVAADISby8vLRr1y61a9cu2XMCAwNVvXp1HTx40I7Jcgaz2azp06erdevWCgsLs3qOi4uLFi1apPHjx8tkMtk3IGAHFBfhkD777DM9+eSTFm1TpkzRzp07DUoEICeaMWOGNmzYYNHWpEkTDR8+3KBEAAAgJ8qbN69++OEHvfnmm8mec/HiRdWrV09z5sxhU8wM8tdff+nFF1/U6NGjk516XrRoUW3ZskW9e/e2bzjAjiguwiHly5dPy5Yts7idPD4+Xl27dtWff/5pYDIAOcWhQ4c0evRoi7bixYtr6dKlcnZ2NigVAADIqZydnfXRRx+lOO02OjpagwYN0iuvvKI7d+7YOWH2sm3bNlWpUiXJB83/VK1aNR06dEjPP/+8HZMB9kdxEQ7r2Wef1XvvvWfRFhoaqq5duyo2NtagVABygjt37ujll1+2WOvVZDJp6dKl8vT0NDAZAADI6fr166eff/5ZXl5eyZ6zbNky+fr66ueff7ZjsuwhOjpaY8aMUbNmzVK8saVbt2765ZdfVLp0aTumA4xBcREObfTo0WrRooVF265du/T2228blAhAdhcfH6/evXvr7NmzFu0Pf8kEAAAwWr169XT48OEU75i7ePGiGjdurOHDh+v+/ft2TOe4Tp06pXr16mnatGnJTi13cnLSxx9/rGXLlilPnjx2TggYg+IiHJqTk5OWLl0qb29vi/bp06frv//9r0GpAGRnU6ZM0dq1ay3a6tSpk+ROagAAACN5eHhoy5YtGjt2bIrnzZgxQ9WrV9ehQ4fslMzxREdHa/LkyfL19U1xUxwPDw9t3rxZI0eOZOMW5CgUF+HwihYtqu+//16urq4W7b169VJISIhBqQBkRxs2bNDEiRMt2goXLqxvv/022bWNAAAAjOLi4qIPPvhA69atU8GCBZM97+TJk6pdu7ZGjBih8PBw+wV0APv27VONGjU0fvx4RUdHJ3te69atdeTIETVt2tSO6YCsgeIisoXnnntOn332mUXbnTt39OKLL7JQMYAM8ccff8jf399iCoyTk5O+++47Pf744wYmAwAASFnbtm0VHByc4jTpuLg4ffbZZ/Lx8dG3336b43eUvnv3rv7zn/+oTp06+v3335M9z83NTTNmzNCGDRtUvHhxOyYEsg6Ki8g2Bg0apG7dulm0nThxgg1eADyy8PBwtW/fPskn+dOnT+fTaQAA4BBKly6tn376STNmzFCuXLmSPe/PP/9U9+7d1bhxYx0/ftyOCbOG2NhYzZ07V+XLl9esWbNSLLL6+PjowIEDeuONN5gGjRyN4iKyDZPJpHnz5snX19eiPTAwUKNGjTIoFQBHFxcXpx49eujEiRMW7d27d9eIESMMSgUAAJB+Tk5OeuONN3T48GHVrFkzxXN37NihKlWqaODAgbp8+bKdEhrHbDZrw4YNqly5sgYOHKjr168ne66Tk5OGDx+uQ4cOqUqVKnZMCWRNFBeRreTLl0/r1q1Lcjv6jBkztGDBAoNSAXBkI0aM0Pr16y3aqlSpovnz5/MJNQAAcEgVK1bUr7/+qnfffTfJ2vX/9M+7+IYNG6bQ0FC7ZYyPj7fbc+3fv1/vvPOOOnbsqJMnT6Z4rq+vr/bt26dPP/1UefPmtVNCIGujuIhsp3Tp0lqzZo3c3Nws2gcOHKgdO3YYEwqAQ5o5c6Zmzpxp0Va4cGGtWbNGefLkMSgVAADAo3N1ddXEiRPTtAlJVFSUPv/8c5UtW1ajR4/WtWvXMjzP4cOHNXToUFWtWVVuudzk7Owst1xuqlqzqoYOHarDhw9n6POZzWZt3LhRDRs2VP369XXs2LEUz3d3d9cHH3ygQ4cO6dlnn83QLICjo7iIbKlOnTqaN2+eRVtsbKw6dOiQ6j8aACBJ//3vfzVs2DCLNjc3N61Zs0ZlypQxJhQAAEAG8/Hx0ZYtW7Ry5UqVLFkyxXPv37+v6dOny9vbWz169ND+/fsfeeOXkJAQNWzcUDVq1NDcNXP1W6XfFPNhjLRQivkwRr9V+k1z18xVjRo11LBxQ4WEhDzS88XExGjJkiXy9fVVmzZttGvXrlSvadKkiY4cOaKxY8emeKcnkFNRXES21atXryRrLYaFhally5a6dOmSQakAOIJDhw6pe/fuSX5Z/vrrr9WgQQODUgEAAGQOk8mkLl266OTJk3rrrbfk4uKS4vkxMTFatmyZateureeee06LFy/WgwcP0v28y5cvVyXfSvr1wq/Sain2fKwUIGmYpD7//9+A/29fLf164VdV8q2kb7/9Nt3PdfbsWb399tsqXbq0evXqleIO0A8988wz2rhxo7Zu3aqnnnoq3c8J5BQUF5GtTZ06VS+++KJF2+XLl9WqVSvdvn3boFQAsrIzZ86oTZs2unfvnkX7e++9J39/f4NSAQAAZL58+fJp2rRpOnnypHr27Cknp9RLBocOHVLv3r3l4eGhPn366KefflJMTEyq1y1fvlw9evRQVOcoxR6JlTpISq6m6SKpgxR7JFZRnaPk7++v5cuXp/ocf/31l+bMmaMGDRqoXLly+uCDD/Tnn3+mep2np6fmz5+v4OBgtW7dmnW2gVRQXES25uzsrG+//Va1a9e2aD927JjatWtn06drALKvq1evqlmzZknWEerdu7feeecdg1IBAADYV7ly5bR48WIdO3ZML7/8cpquCQ8P16JFi9SsWTN5eHjolVde0bfffmt1fcbTp0+rT98+MvcwJ9ypmNZ9UfJKCpDMPczq07dPkinS8fHxCg4O1vTp01W/fn15enpq0KBB2r17d5oevmDBgnr33Xd1+vRp9e3bN9U7OAEkoLiIbC9PnjzasGGDKlSoYNG+e/du+fv7Ky4uzqBkALKSW7duqXnz5jp37pxFe+PGjfXVV1/xiTUAq6ZMmaI6deooT548KliwYJqu6d27t0wmk8VXy5YtMzcoANjAx8dHK1as0G+//ab27dun+feh27dva+nSperevbs8PT1VuXJl9e/fXwsXLlRwcLD69OujOK84aY7SX5VwkjRHiisRp56v9tS2bds0depUdejQQcWKFVO1atU0evRo/fLLL2necbpUqVJ69dVXdebMGU2cOFH58uVLZyggZ6MMjxyhSJEi2rx5s/z8/Cxug1+9erX69OmjRYsWpemWfwDZU0REhFq3bp1kw6eqVavqhx9+SLL7PAA8FB0drS5dusjPz08LFy5M83UtW7bUokWLEo/d3d0zIx4AZAhfX1+tWbNGZ86c0Zdffqmvv/5aYWFhab7+999/1++//6758+f/3bhaab9j8d/ySrEfxWpvp72p7nSdkqefflpvvfWWOnfurJ9++kmPPfaYzY8F5GRUU5BjlC5dWj/++KPy589v0b5kyRINHDjwkXc5A+CYoqKi1L59e+3fv9+i/cknn1RgYGCa70QCkDNNmjRJw4cPV+XKldN1nbu7uzw9PRO/ChUqlEkJASDjlCtXTp988okuX76sefPmpftnXyJPSW0fMcyLkjzSf5mLi4s6d+6szZs36+jRo+rVqxcfJAOPiDsXkaNUqVJFa9euVatWrRQVFZXYPm/ePOXKlUszZsxg6iOQg0RHR+ull17Stm3bLNpLlSqlrVu3ysPDht9YASANduzYoeLFi6tQoUJq3LixJk+erCJFiiR7flRUlMXvLuHh4ZISdmy1tnHCP9uSOwdp93D8GMdHx1hmHCPH0s3NTb1791avXr108OBBffvtt1q5cqX++uuv1C92kdRCj16NePg4yySlYaWr5557Tl27dlWXLl0Sf8eLi4tTXFwcr8sMxFhmHKPHMj3PS3EROc7zzz+vH374QR06dLD4yzJz5ky5u7tr2rRpFBiBHCAqKkpdunTR+vXrLdqLFi2qrVu3qnTp0gYlA5DdtWzZUh07dlSZMmV05swZjRs3Tq1atdLevXvl7Oxs9ZqpU6dq0qRJSdq3bNmiPHnyJGn/56Z127dvV65cuTLuG8jBtm7danSEbIOxzDhZYSybNWumxo0b6/jx49q/f78OHjxodSMXSVK8pKoZ9MRVJS213uXs7Kynn35azz77rGrVqpVYUAwKCkr24bLCWGYXjGXGMWos7927l+ZzKS4iR3rhhRf03XffqUuXLhYbunz00Udyd3fXe++9R4ERyMaioqLUuXNnbdiwwaL9scceU2BgoHx8fAxKBiArGDNmjKZNm5biOSdOnLD5Z0XXrl0T/1y5cmX5+vqqXLly2rFjh5o0aWL1mrFjx2rEiBGJx+Hh4fL29lbz5s2TLPkiSZGRkYl/bty4MUs8PKKYmBht3bpVzZo1k6urq9FxHBpjmXGy4li2bZsw19lsNuvs2bP6+eeftWPHDh08ePDvTfPiJSX9sWWbAv//eJJcXV3l6+ur+vXrq1GjRqpXr57Vn4/WZMWxdFSMZcYxeiwfzpJIC4qLyLE6dOigpUuXyt/f32IXscmTJysqKoo7GIFsKioqSp06ddLGjRst2vPly6dNmzapRo0aBiUDkFWMHDlSvXv3TvGcsmXLZtjzlS1bVkWLFlVISEiyxUV3d3erm764urpafcPxz7bkzkH6MZYZh7HMOFl1LH18fOTj46OBAwdKkq5du6b//e9/avNiG8WFp2Eec1rckZxdnbV3z175+vo+8uZYWXUsHRFjmXGMGsv0PCfFReRoXbt2VVRUVJI3EB999JHu3bunmTNnsos0kI2kVFgMDAxU3bp1DUoGICspVqyYihUrZrfnu3z5sm7evKkSJUrY7TkBwN48PDzUsmVLVfKtpN+Cf8uYBw2WKleprGeffTZjHg+ATaiaIMfr1auX5s2bl6R99uzZ6tu3r8W0aQCO6+7du3rhhRcoLALIUBcvXlRwcLAuXryouLg4BQcHKzg4WBEREYnn+Pj4aM2aNZKkiIgIjRo1Svv27dP58+e1bds2tWvXTuXLl1eLFi2M+jYAwG7q+9WXy08uUuwjPlCs5LLNRfVq18uQXABsR3ERkNSvXz8FBAQkuUtx0aJF6tGjBztdAQ7uxo0batKkSZJdoR977DFt3ryZwiIAm02YMEHVqlXTxIkTFRERoWrVqqlatWo6dOhQ4jmnTp3SnTt3JCVsMHDkyBG9+OKLeuqpp/Taa6+pRo0a2r179yNP5wMAR/Dqq68q9kqstD71c1O0Toq9EqtXX301Q3IBsB3TooH/16tXL+XJk0fdu3dXbOzfH6OtWLFCkZGRWrFihdXdGAFkbZcuXVLz5s118uRJi/aHhUU/Pz+DkgHIDgICAhQQEJDiOWazOfHPuXPn1ubNmzM5FQBkXdWrV1eD5xvo1zd/VWzzWCmvDQ8SKbmMclGd5+uoevXqGZ4RQPpw5yLwD126dNHq1avl5uZm0b5+/Xo1btxYf/31l0HJANji1KlTqlu3bpLCYtGiRbV9+3YKiwAAAAZYOG+hnP90lgYqcbfnNIuXNFBy/tNZC+ctzIR0ANKL4iLwL23bttWGDRuUO3dui/b9+/erbt26Onv2rEHJAKTHgQMHVK9ePV26dMmi3dvbW7/88otq1qxpUDIAAICcrXz58lq0cJFMS01Sb0mRabwwUlJvybTUpEULF6l8+fKZlhFA2lFcBKxo1qyZtmzZokKFClm0nz59Wn5+fgoKCjIoGYC0+OGHH9SoUSPduHHDot3Hx0d79uxRhQoVDEoGAAAASerWrZuWLl0q9+/d5eLrIq1W8pu8xEpaLbn4usj9e3ctW7ZM3bp1s2NaACmhuAgko169etqzZ48ef/xxi/br16+rYcOG+vHHHw1KBiA5ZrNZ06dPV+fOnXX//n2LvmeffVa7d++Wt7e3QekAAADwT927d9fvR35XndJ1pE6SyxMuUi9Jn0n6+v//2+v/2ztJdZ+oq9+P/E5hEchiKC4CKahYsaL27t0rX19fi/bIyEi1adNGn376qcUi7QCMExMTo/79+2v06NFJ+po2bapt27apaNGiBiQDAABAcsqXL6+d23cqKChIAzoMUNXjVeU61lV6TXId66qqx6tqQIcBCgoK0o5tO5gKDWRB7BYNpMLLy0u7du1Sp06dtG3btsT2+Ph4jRw5UkePHtXcuXPl7u5uYEogZwsLC1Pnzp0t/o4+1LdvX3355ZdydXU1IBkAAADSonr16hY7P8fHx8vJifuhAEfA31QgDQoUKKBNmzbJ398/SV9AQICef/55hYaGGpAMwLFjx/Tcc89ZLSxOnz5d8+bNo7AIAADgYCgsAo6Dv61AGrm5uembb77R+++/n6Rv7969evbZZ3X48GEDkgE516pVq1SrVi2dPn3aoj1Xrlz6/vvvNWrUKJlMJoPSAQAAAED2R3ERSAeTyaR33nlHq1evVt68eS36Ll++rLp16+rrr782KB2Qc8TGxmr06NF66aWXFBkZadHn4eGhnTt3qlOnTgalAwAAAICcgzUXARt06NBBv/76q1588UVduHAhsf3Bgwd67bXXtHv3bs2ePVt58uQxMCWQPd24cUPdunXTTz/9lKSvZs2a+uGHH5Ls8g4A2c3DDeXCw8Ot9v/zg5fw8HCmFz6imJgY3bt3T+Hh4Sy18YgYy4zDWGYcxjLjMJYZx+ixfPg7Rlo2saW4CNjI19dXBw8eVKdOnbR7926LvoCAAAUFBWnVqlWqUKGCQQmB7Gf37t3y9/fXpUuXkvT16dNHs2fPVq5cuQxIBgD2dffuXUmSt7d3queWLl06s+MAAIBs6u7duypQoECK51BcBB5BsWLF9NNPP2nkyJH64osvLPqOHj2qmjVrauHChXrppZcMSghkD3Fxcfrggw/07rvvKj4+3qLP1dVVs2bNUv/+/VlfEUCO4eXlpUuXLumxxx5L9mdfeHi4vL29denSJeXPn9/OCbMXxjLjMJYZh7HMOIxlxmEsM47RY2k2m3X37l15eXmlei7FReARubm5adasWapXr5769u2riIiIxL6IiAi9/PLL2rp1qz777DPly5fPwKSAY7py5Yp69OihHTt2JOnz8vLS999/Lz8/P/sHAwADOTk5qVSpUmk6N3/+/LzByyCMZcZhLDMOY5lxGMuMw1hmHCPHMrU7Fh9i8RUgg7z88ssKCgpS5cqVk/QtWLBA1apV0/79+w1IBjiuDRs2qEqVKlYLi40bN1ZQUBCFRQAAAAAwEMVFIAM99dRT2rdvn1599dUkfSEhIapbt67ee+89xcbGGpAOcBx3797V66+/rrZt2+rmzZsWfc7OzpoyZYq2bNkiT09PgxICAAAAACSKi0CGy5Mnj77++mstWrQoyTTouLg4TZw4UfXr19eZM2cMSghkbT///LN8fX01b968JH2PP/64du3apXHjxsnZ2dmAdADgONzd3TVx4kS5u7sbHcXhMZYZh7HMOIxlxmEsMw5jmXEcaSxN5rTsKe1AwsPDVaBAAd24cUNFihQxOk62FRMTo02bNql169ZsL5+CM2fO6JVXXtHevXuT9OXJk0dTpkzR0KFDky2SMM6ZLzIyMrEIfPv2bRUsWNDYQNlYaq/nyMhIjR07VrNmzbJ6fadOnTR//nwVKlQos6M6NH5uZL6bN2+qaNGiunPnDmsJAQAAIMfjzkUgE5UrV067du3SpEmTkhQQ7927p+HDh6tu3bo6duyYQQmBrOGXX35R1apVrRYW8+bNq7lz52rVqlUUFgEAAAAgi6G4CGQyFxcXTZgwQXv27FH58uWT9O/fv1/VqlXTe++9p+joaAMSAsa5deuW+vfvr/r16yskJCRJf8OGDXXkyBG9/vrrMplMBiQEAAAAAKSE4iJgJ7Vq1dL//vc/DRo0KElfTEyMJk6cqBo1alidQg1kN2azWcuWLZOPj4/mz5+fpD937tyaMWOGtm/frrJlyxqQEAAAAACQFhQXATvKly+fZs+erZ07d+rJJ59M0v/777+rTp06evXVV3Xt2jUDEgKZ7/Tp02revLl69Oihv/76K0m/n5+fgoOD9cYbb8jJiX+mAAAAACAr410bYIAGDRrot99+05gxY6xu5hIQEKAKFSroiy++UFxcnAEJgYwXERGh5cuXq3r16vrpp5+S9OfNm1effvqpdu/eraeeesqAhACQfcyePVtPPPGEcuXKpVq1aunAgQNGR3JIu3btUtu2beXl5SWTyaS1a9caHckhTZ06Vc8++6wee+wxFS9eXO3bt9epU6eMjuWw5syZI19fX+XPn1/58+eXn5+ffvzxR6NjObwPP/xQJpNJw4YNMzqKQ3r33XdlMpksvnx8fIyO5bCuXLmiHj16qEiRIsqdO7cqV66sQ4cOGR0rWRQXAYPkzp1bU6dO1YEDB1S1atUk/Xfu3NGIESM0YsQI7d692/4BgQwSHx+vJUuWqFKlSlq5cqWioqKSnNO+fXudOHFCw4cPT3b3dABA2nz33XcaMWKEJk6cqMOHD6tKlSpq0aKFrl+/bnQ0hxMZGakqVapo9uzZRkdxaDt37tTgwYO1b98+bd26VTExMWrevLkiIyONjuaQSpUqpQ8//FBBQUE6dOiQGjdurHbt2rFJ5CM4ePCgvvrqK/n6+hodxaE988wz+vPPPxO/fvnlF6MjOaTbt2+rbt26cnV11Y8//qjjx4/rk08+ydKbW7oYHQDI6apXr64DBw7oiy++0MSJE3X37l2L/gsXLqhJkybq2LGjpk6dyh1dcCi//vqrhg0bpoMHD1rt9/b21qxZs9SuXTs7JwOA7OvTTz9Vv3799Oqrr0qS5s6dq40bN+rrr7/WmDFjDE7nWFq1aqVWrVoZHcPhBQYGWhwHBASoePHiCgoKUoMGDQxK5bjatm1rcTxlyhTNmTNH+/bt0zPPPGNQKscVEREhf39/zZ8/X5MnTzY6jkNzcXGRp6en0TEc3rRp0+Tt7a1FixYltpUpU8bARKnjzkUgC3B1ddXw4cP1xx9/6JVXXrF6zurVq/X0009r8ODBrMeILO/s2bPq1q2b6tata7Ww6OzsrOHDh+v48eMUFgEgA0VHRysoKEhNmzZNbHNyclLTpk3ZNA5Zxp07dyRJhQsXNjiJ44uLi9OKFSsUGRkpPz8/o+M4pMGDB+uFF16w+LkJ25w+fVpeXl4qW7as/P39dfHiRaMjOaR169apZs2a6tKli4oXL65q1apZ3QQzK6G4CGQhnp6eWrJkiXbv3m31lvy4uDh9+eWXKl++vN5//32mkiDLuXLligYOHKgKFSpoxYoVVs9p3ry5jhw5ok8//VT58uWzc0IAyN5u3LihuLg4eXh4WLR7eHgoNDTUoFTA3+Lj4zVs2DDVrVtXlSpVMjqOwzp69Kjy5csnd3d3DRgwQGvWrNHTTz9tdCyHs2LFCh0+fFhTp041OorDq1WrlgICAhQYGKg5c+bo3Llzql+/fpKZeUjd2bNnNWfOHD355JPavHmzBg4cqP/85z9avHix0dGSRXERyILq1aunoKAgffbZZ3rssceS9EdERGjChAkqX768Pv/8c92/f9+AlMDfbty4oVGjRql8+fKaO3euYmNjk5zz1FNP6Z133tH69ev55RcAgBxq8ODB+v3335P9EBJpU6FCBQUHB2v//v0aOHCgevXqpePHjxsdy6FcunRJb7zxhpYtW6ZcuXIZHcfhtWrVSl26dJGvr69atGihTZs2KSwsTCtXrjQ6msOJj49X9erV9cEHH6hatWrq37+/+vXrp7lz5xodLVkUF4EsysXFRYMHD9acOXP05ptvWv0HLzQ0VMOGDVPZsmU1Y8YMioywu7CwML377rsqW7asPv74Yz148CDJOQULFtSMGTP0v//9TzVr1pTJZDIgKQDkDEWLFpWzs3OSJVSuXbvGOlgw3JAhQ7Rhwwb9/PPPKlWqlNFxHJqbm5vKly+vGjVqaOrUqapSpYo+//xzo2M5lKCgIF2/fl3Vq1eXi4uLXFxctHPnTs2cOVMuLi6Ki4szOqJDK1iwoJ566imFhIQYHcXhlChRIsnNGBUrVszS08wpLgJZXL58+fTBBx/ojz/+UO/eva0WZkJDQzV8+HCVKVNGn332me7du2dAUuQkoaGhGj16tB5//HFNmjTJ6nSHXLlyaeTIkQoJCdEbb7whV1dXA5ICQM7i5uamGjVqaNu2bYlt8fHx2rZtG+uxwTBms1lDhgzRmjVrtH379iy/MYEjio+PV1RUlNExHEqTJk109OhRBQcHJ37VrFlT/v7+Cg4OlrOzs9ERHVpERITOnDmjEiVKGB3F4dStW1enTp2yaPvjjz9UunRpgxKljuIi4CAe7hYVHBysli1bWj3n2rVrGjFihMqUKaPJkyfr5s2bdk6J7O78+fMaPHiwnnjiCU2fPt1qUdHFxUUDBgxQSEiIPv74YxUpUsSApACQc40YMULz58/X4sWLdeLECQ0cOFCRkZGJu0cj7SIiIhKLDpJ07tw5BQcHZ+m7R7KiwYMHa+nSpVq+fLkee+wxhYaGKjQ0lFk3Nho7dqx27dql8+fP6+jRoxo7dqx27Nghf39/o6M5lMcee0yVKlWy+MqbN6+KFCnCeqA2ePPNN7Vz506dP39ev/76qzp06CBnZ2d169bN6GgOZ/jw4dq3b58++OADhYSEaPny5Zo3b54GDx5sdLRkUVwEHIyvr69+/PFH/fLLL2rWrJnVc65fv67x48fL29tbQ4YM0ZkzZ+ycEtlNcHCwevbsqfLly+vLL7+0+sm4yWTSK6+8opMnT2rOnDkqWbKkAUkBAC+//LI+/vhjTZgwQVWrVlVwcLACAwOTbPKC1B06dEjVqlVTtWrVJCUUbqtVq6YJEyYYnMyxzJkzR3fu3FGjRo1UokSJxK/vvvvO6GgO6fr16+rZs6cqVKigJk2a6ODBg9q8eXOy7w0Ae7h8+bK6deumChUq6KWXXlKRIkW0b98+FStWzOhoDufZZ5/VmjVr9O2336pSpUp6//33NWPGjCz9AYLJbDabjQ6RkcLDw1WgQAHduHGDu2UyUUxMjDZt2qTWrVsz1TETpWWcf/31V02aNElbtmxJ9nFMJpM6dOigkSNHys/PjzXv/iEyMjJxx+Lbt2+rYMGCxgbKQmJjY/Xf//5XM2fO1K5du5I9z8nJSV26dNH48eP1zDPPJHsePzfsg3HOfDdv3lTRokV1584d5c+f3+g4AAAAgKG4cxFwcHXq1NHmzZv166+/qkWLFlbPMZvNWr16terWrauaNWtq/vz5ioiIsHNSOIqbN29q2rRpKlu2rDp37pxsYdHV1VV9+/bVyZMntWLFihQLiwAAAACA7IniIpBN+Pn5KTAwUIcPH5a/v3+yCxAfPnxY/fv3V8mSJTVkyBAdPXrUzkmRFZnNZu3atUu9evVSqVKlNGbMGF26dMnquXny5NHw4cN19uxZzZ8/X08++aSd0wIAAAAAsgqKi0A2U61aNS1dulTnzp3Tm2++qccee8zqeeHh4Zo9e7Z8fX1Vr149LVq0SOHh4XZOC6NdvXpVU6dO1VNPPaWGDRtqyZIlevDggdVzPT09NWnSJF24cEGffvqpSpUqZee0AAAAAICshuIikE15e3vro48+0uXLl/XJJ5+kuG39nj171KdPH3l4eKhbt27atGmTYmNj7ZgW9nT//n398MMPatu2rby9vTVu3DiFhIQke36tWrW0fPlyXbhwQRMmTFDRokXtmBYAAAAAkJVRXASyufz582vEiBE6c+aMNmzYoDZt2iS7ocuDBw+0YsUKvfDCCypZsqSGDx+uQ4cOKZvt+5QjRUdHa+PGjXrllVfk4eGhzp07a8OGDYqPj7d6vqurq/z9/bVv3z7t27dP3bp1k5ubm51TAwAAAACyOhejAwCwD2dnZ73wwgt64YUXdOHCBc2fP18LFizQtWvXrJ5//fp1zZgxQzNmzNDjjz+ujh07qlOnTvLz80t2PUdkLTExMdq5c6e+++47/fDDD7p9+3aq11SoUEGvvfaaevbsKQ8PDzukBAAAAAA4Mu5cBHKg0qVLa/Lkybp06ZJWrVqltm3bysUl+c8aLl68qBkzZqh+/foqWbKkBg4cqC1btigqKsqOqZEWt2/f1vLly9WtWzcVK1ZMzZo104IFC1IsLObNm1d9+vTRnj17dOLECY0aNYrCIgAAAAAgTbhzEcjBXF1d1blzZ3Xu3Fl//fWXVqxYoW+++UYHDx5M9ppr165p7ty5mjt3rvLkyaPGjRurZcuWatmypcqVK2fH9JASdnk+ceKEfvzxR61fv16//PKL4uLiUr3OZDKpUaNG8vf310svvZTsxj8AAAAAAKSE4iIASVKxYsU0dOhQDR06VCdPntTSpUu1YsUKnTlzJtlr7t27pw0bNmjDhg2SpHLlyqlly5Zq2rSp6tWrx8YfmeTChQvatm2btm3bpu3btys0NDTN19apU0cvv/yyunTpohIlSmRiSgAAAABATkBxEUASPj4+mjx5st5//30dPXpUq1ev1urVq3X06NEUrztz5oxmz56t2bNnS5KefvppNWjQQPXr11f9+vXl7e1tj/jZSnx8vE6dOqV9+/bp119/1fbt23X27Nl0PUbNmjX10ksv6aWXXkpx13AAAAAAANKL4iKAZJlMJvn6+srX11fvvvuuTp8+rTVr1mj16tU6cOBAqrtIHz9+XMePH9fcuXMlJaz1+Nxzz6lGjRqqWbOmqlevrkKFCtnjW3EYN2/e1KFDh7Rv3z7t3btX+/fvV1hYWLoeI1euXGratKnatm2rNm3ayMvLK3PCAgAAAAByPIqLANLsySef1FtvvaW33npLN27c0NatW7V582YFBgYmu+v0P124cEEXLlzQqlWrEtvKlSunGjVqqFq1aqpYsaKefvpplSlTJsUNZrKD2NhYnTp1SkeOHNGRI0f022+/6ciRI7py5YpNj1eqVCm1bNlSL774opo0aaI8efJkcGIAAAAAAJLKtHfvU6ZM0caNGxUcHCw3N7c03XljNps1ceJEzZ8/X2FhYapbt67mzJmjJ598MrNiArBR0aJF1a1bN3Xr1k3x8fE6cuSIAgMDtXXrVu3bt0/37t1L0+OcOXNGZ86c0cqVKxPb3NzcVKFCBVWsWFEVK1ZU+fLlVbp0aT3xxBPy8vKSs7NzZn1bGSo+Pl6XLl1SSEiITp8+bfHfkJAQRUdH2/zYRYoUUePGjdWkSRM1btxY5cuXl8lkysD0AAAAAACkLtOKi9HR0erSpYv8/Py0cOHCNF0zffp0zZw5U4sXL1aZMmU0fvx4tWjRQsePH1euXLkyKyqAR+Tk5KSqVauqatWqGjNmjGJiYnT48GHt2rVLu3fv1u7du9M1tTc6OlpHjx61usaji4uLvL29Vbp0aZUuXVoeHh4qXrx44lexYsVUvHhxFSlSRLly5crwgltcXJzCwsJ0+/btxK/r16/rypUrunr1qq5cuZL45z///FMxMTEZ8rwlS5aUn5+f6tSpo8aNG6ty5cpycnLKkMcGAAAAAMBWmVZcnDRpkiQpICAgTeebzWbNmDFD77zzjtq1aydJWrJkiTw8PLR27Vp17do1s6ICyGCurq6qVauWatWqpVGjRik+Pl7Hjh3TgQMHdOjQIQUFBem3336z6c692NhYnTt3TufOnUv1XCcnJ+XLl0+PPfaY8uXLl/jl5uYmJycnOTs7Kz4+PvH8V155RSaTSQ8ePFBUVJSioqIS/3zv3j2FhYUpPDw83ZnTy93dXTVq1FDt2rXl5+en2rVrq1SpUpn+vAAAAAAApFeWWdTs3LlzCg0NVdOmTRPbChQooFq1amnv3r3JFhcfFgAeevjGPyYmJsPuGEJSD8eWMc5c2WmcfXx85OPjo549e0pKuDvx2LFj+t///qfDhw/rxIkTOnHihG7cuJFhzxkfH6/w8PA0FwQ3bNiQYc+dVqVKlVLlypVVqVIl+fr6qnLlynrqqaeSrDmZHV4D2en1nJUxzpmPsQUAAAD+lmWKi6GhoZIkDw8Pi3YPD4/EPmumTp2aeJf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      "text/plain": [
       "<Figure size 1600x800 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# create an animation showing the origin of the sine and cosine functions\n",
    "num_frames = 200\n",
    "pt = [1.3,0.75]\n",
    "section_3_9_helpers.L2(pt,num_frames,savepath=video_path_1,fps=20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 521
    },
    "id": "zgjID_CNXwDw",
    "outputId": "d516440e-8e29-4c47-a8ae-6ddde16888f8"
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<video width=1000 controls><source 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      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "show_video(video_path_1, width=1000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "HXWv84HTWuFq"
   },
   "source": [
    "As can be seen it appears as if indeed $\\mathbf{d} = -\\frac{\\nabla g(\\mathbf{v})}{\\left\\Vert \\nabla g(\\mathbf{v}) \\right\\Vert_2 }$ is the direction producing the smallest inner product."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "8jJ13l0MWuFr"
   },
   "source": [
    "To prove this formally we can use the *inner product rule* which tells us almost immediately what the solution to this problem is. According to the inner product rule $\\nabla g(\\mathbf{v})^{T}\\mathbf{d}$ can be written as \n",
    "\n",
    "$$\\nabla g(\\mathbf{v})^{T}\\mathbf{d} = \\left \\Vert \\nabla g(\\mathbf{v}) \\right \\Vert_2 \\left \\Vert \\mathbf{d} \\right \\Vert_2 \\text{cos}(\\theta)$$ \n",
    "\n",
    "where $\\theta$ is the angle between $\\nabla g(\\mathbf{v})$ and $\\mathbf{d}$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "NSBcI-0yWuFr"
   },
   "source": [
    "\n",
    "Noting that both $\\left \\Vert \\nabla g(\\mathbf{v}) \\right \\Vert_2$ and $\\left \\Vert \\mathbf{d} \\right \\Vert_2$ have constant values (the former is the length of the gradient at $\\mathbf{v}$, and latter is just $1$), the value of $\\nabla g(\\mathbf{v})^{T}\\mathbf{d}$ is smallest when $\\text{cos}(\\theta)$ is smallest, i.e., when $\\theta = \\pi$. In other words, $\\mathbf{d}$ must point in the same direction as $-\\nabla g(\\mathbf{v})$, and also be unit length. Thus we have $\\mathbf{d} = -\\frac{\\nabla g(\\mathbf{v})}{\\left \\Vert \\nabla g(\\mathbf{v}) \\right \\Vert_2}$, that is indeed the normalized gradient descent direction. In deriving the gradient descent direction in this way, $\\mathbf{d}$ is referred to more generally as the *steepest descent direction*."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "O1G9TjUaWuFr"
   },
   "source": [
    "### Steepest descent direction in the $\\ell_{\\infty}$ norm"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "66jvmYQKWuFr"
   },
   "source": [
    "Replacing the $\\ell_2$ norm with the $\\ell_{\\infty}$ norm in our original constrained optimization problem above we have a similar looking problem whose solution defines a new kind of steepest descent direction"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "t_nJ9KPlWuFs"
   },
   "source": [
    "\\begin{equation}\n",
    "\\begin{array}{cc}\n",
    "\\underset{\\mathbf{d}}{\\text{minimize}} & \\nabla g(\\mathbf{v})^{T}\\mathbf{d}\\\\\n",
    "\\text{subject to} & \\left\\Vert \\mathbf{d}\\right\\Vert _{\\infty}=1\\\\\n",
    "\\end{array}\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "BjP0xJqhWuFs"
   },
   "source": [
    "In the figure below we explore possible solutions to this problem in two dimensions for a particular choice of gradient vector, gaining valuable geometric intuition as to what the solution should be. Here once again we plot an example gradient vector $\\nabla g (\\mathbf{v})$ as a red arrow, along with the $\\ell_{\\infty}$ unit ball. Moving the slider from left to right you can test various directions $\\mathbf{d}$ (each shown as a black arrow) on this $\\ell_{\\infty}$ unit ball computing the inner product $\\nabla g(\\mathbf{v})^{T}\\mathbf{d}$, whose value is simultaneously plotted in the right panel. As you move the slider right once more the direction providing the *smallest* value is shown as a green arrow in the left panel, and is highlighted in green in the plot in the right panel.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 531
    },
    "id": "biln2K2fWuFs",
    "outputId": "6fcb2eb0-7120-4e3e-f718-4804d5560026"
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/jeremywatt/Desktop/machine-learning-refined/venv/lib/python3.10/site-packages/IPython/core/events.py:82: UserWarning: This figure includes Axes that are not compatible with tight_layout, so results might be incorrect.\n",
      "  func(*args, **kwargs)\n",
      "/Users/jeremywatt/Desktop/machine-learning-refined/venv/lib/python3.10/site-packages/IPython/core/pylabtools.py:170: UserWarning: This figure includes Axes that are not compatible with tight_layout, so results might be incorrect.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n"
     ]
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 1600x800 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# create an animation showing the origin of the sine and cosine functions\n",
    "num_frames = 200\n",
    "pt = [1.3,0.75]\n",
    "section_3_9_helpers.Linf(pt,num_frames,savepath=video_path_2,fps=20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 521
    },
    "id": "8Gwk2QDfX33d",
    "outputId": "946c2ebd-a344-406f-afeb-8387d385fab2"
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<video width=1000 controls><source 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z3DoekUNZweXPvyJPEIP4Gq9yBtntU1O9F/oIwn+oSn+kPIomX8KuFGhtgA02ko2bygQJtf/iIihW99efi3qhS1gMUoHD99LxZHkR0Fr+d/gmZKifVjvvB8Gp/aTllXmEi4BLEWmthdZ1BlRtGtyN7uOBSX2XP2dZ5Lx7aGMUEoQsM0MWl9Vy/RoOG4DPy97ENy17Ch+fqdaklUSrCfeIfAEr0tc648HPGA90MZrZY6Rl+qbpCp6oAxA68E+tQKwPv3ZUjTwCWHOK2sbbtguZB78pcxmWhMjQhSw1CWUuOChkPnBVOUkFCcEbQndp+goXRR/R4JUO70ICBURvO0LHWYCjCjEesRu1mwnWZbQO8XmH99FRlcq+t2g5ksfpZtH7yzBnzOTIWVapfQ/3D0f1T3srpYNv+zX+5403oCBO7CjYBoZOmSiIBRTyj6nfPR/18+JYXGXWgQCVkLIy5LEO/HjgXaKmh+wvbtVdCwobv1mmknZr2///Je0/rEcVMuIpPRspaNnPuz4dFuqTWUP/DLhj440llGLLhcxgu+vtJ1Y/OO0nVw+29SmKFqSKLyRHQotleLtRTva4O7Qo74NiJlF9ZUUHAynARH2LSikawoPPI5eIMvP6ml7ed7oZcXf/dmS3kzOeOicgohgW/bQ1tztBan/6OVJM9sFACJbIKr2Gn9Etg08i0Dzzbr4BUHyLUQ0qXaD0FquinZfwM5lW9FH1TYtb4RVHMRX//vF/7q8/+E62kwVsYTEd4tyzT8Uw/8BY9Te/SPUBgyg9Vs7Kd+StTgut3HupI1CPYPoGBLLZqPH6BuKmAby7ZjXqFbez1+q1F6jA5pjHOBaUErW4MZ+Y73WNuVCV/Noy5+l89KzcKCE18fUfnIjJp9X26SJqNIav0P4CYBVQkfSIIDXOF8u/wq8QJnnSPfj5BMQgLGEBg9/2tqFDGaVHOUmFDuIaQKDEMyo/RacpZTVMr8I7DTXSiGzVG15r51UFTshU0E9MCD9hoZ1hDDngaOlEdeQoWzzgBQ9ncHmPHz19M3gbjtKrYCGscHJKHiQWl55Q0AKnGkXG6kRjsHaAc131JplL17pMTZKq3sCynPWEvmkRIyKcIz7qfIHggtBmKPBo30nEvDknh0f+9lZy9HJ6eatWwNLiuX3BfuPc7P+mWBE85heWUj+m/M+q4zdtlspL12pY/6qYZ252A+E+DkQfU/9prd/Qb+VOLxYtIAdLZEX8rfGhN7u5YDM5bX/j3fCmhDuUN/sXaSRdgH/ygffASVPR6m+t0AZGVVkydEPxs2z/A/BFj6V1EhmFJVwyQ8mNQFaEOnao6aZzl0yxNzPI7khiiAvxwU4rKXKmPNQE3kjXxITjkyXcXOUJp/ywvzdtFgnSO+Owfhi1jjpMIW8wku3Dx+TKmAVLhUn7jgjuCUhku01QfQuf/y3pi5R1G5kBe7H6XKtyRLBC+iCaZZXbwzYrKApg1VZ2xrMi8VR3fFqDZ1nmLUKqCyv2yvxJWR3Fk8QVrfePxGP3Xq8Kipm6mQT4xHYnGV+7EwvLwdG/UJUOnOE+16c/0cxqaEdDvuhlK5gFewr3rUSEqQ75ZWgYn/9kbbhVbaUALoI24KfyNct0w0/OgFLo6sgLijknMz4Fb+7tycVdTlmHHCh9VMejuWhhZKgjHgvtbPbXJ4KvdSm08YsEtsFsvdIYRCWIqjqo/SoytlIKSHmD3a038brq9mUBDmYwE//+1RkCMo3+tibixaBZ4LtH6IETYPYEtG6gNDW3Yj3Zto/l7uH68vrmiswj5DL1wOw20/CCv6xIyOA4nP54c2G72QEbZ5OLDE65Nj6BPO+b8FCR/njJS4/gyh2xEI+OwCDA8QJXNqeqOarFIDPbRlxgwwQ8XwBPLC4DbXT4MRuYsqZ2kxbjfwyjW9UxLNDkVnaqE2P9HYb1JSAwCO1uNCZ/JGWOX64YpfjfaX5zYaKLUS0aBeXMbyPWBdNkkpRCGnWd9NaZme2GTkegA2zoWFe757MvDogmfOIbVKJqmUeCuvk/DxHfFGwiWLBIBistLBCMPyym9YgcmYurw4Via/au6QlgPN65jpUC2q52ErxUrf16J5oWRl6/UseyHEWU85pN3wO7oK0T3p9fZNkMiUgKCdtaSDMci0AY+zEbtfYoFkElNm7b1diKkoEIYAcehw5hEyxY0K4hEY3Yd6axNo8+44UxFKuzRM8ZQ8j0NtLP4N6+0OYh5R6eYRqfhMzzdNpDaqh5/NVPZpfH/nX+tX8ATIAAAMAD0Jw+PZdbbRVV/bknob5Z3yyu0Shl7ZEIrhbuC8zzjlrBIL6YuSmTUh541XkpLn2B4fMDl2Qx/A7x8NUjknACuyCI+ZcOpCfHAxEQFBO87srjSuRVZ/B3aFbadlvXIYrg4yFpDR4dwwiVvUzlSI2vEhK3EKKiOXrtJ9Gtlg+6klGVd2SneAKjHB3jhFGSRqygrqGjJNLv6Zvp0GgQ4/ALpjJfWQKq6hGXJCWdH+4wkE1DvFxvRBgaD9SixPYL4IPwoq+//iJxl9zX72h72h6k80oP3v44/1z/JY3AZhM2hGlmU31+MfxuKPDGydqumfs0Mxv4HwNNhjx+MXFjypQB6W/aFGL7sfWStiRHYG7fnuduYatibGK+SAe0GwIPNedg5cXooVvww4db0GSsr2L1hIqsfSmBwRrTwyMmuYaIgNfIcZdMITyZtJfBdPzw07BxvZ+k/gn/IW91QBHLyXcDVphxb41uQSpBc8JzKSZwbcZqpKCarLOl9WCj+08DlqxhUAD7EFzt4fmXMOWbakg6kGcZKy+UeT714dNQ7zJ5QOs2MgJnG4/XwSDeziYGtZNjRRP8oL/ptXPBKnKYaieiPB/s+mZhTkmuOOAy0Noe+Mi3QWznLOdQHXzC14GEN3BRu2f3LZMLcaPmS0frOWQCsfvZjFWGcZCHjug4MMcZMvWYovS35l+vlIsnoHdrQgHP8FEOmIUa82zKufEelf2Sro3U+n/0V76YhYLiS4Mc2QR6eCt6zRkJWAfOMJDT9glG07A60+ArbSEg9C951eeTNJIF2P+6dxqkGCO6TlMEMniXwqOF7bJW/TnGneILgI2b8fneaNgcVh1v2+P4XR/g6CDs8Rnvd+RzyKBEt10/H6VzzpEehg8jeKyb+Dj8CTeKf/0YKjD05wguOah3L7KQo7eB6XKgqgnRuXwVeStvlTScwTV9/OXpfVMEF2jLDVdy7rwgAMsddzVHiPo7qvI5x9sb79+Gi3z/lolXUQn8cZkh/pXPEtB9zH00HKFHcV8bxK9VLmLv49W41+bfzfPN66kXKpM4bwzQrJPqnra6X80Rfxvv5xQC4yDtjTj7Kv3pvBmohKEevnzqz8CBQfcfTQ0dNX7UTBTbPzS9X0leKXVurMuHYk3XTPL6rDdo5DICmA8HWC0ntpkRVX7PM+IGJpFrEMLu0/ki+TicEZfu3zaFDM1SuxDEpl8frrfVSg6Uf9UyAGyY4S5j3e41qXWsSSiK0eLtvccxCu0uQkyniTKwAPzdba/J+nGVcKQGOIERDc0cXnraGG6Fxh0QpGTSrEmLaI9U+8zSTBfLeD92ow7EpO1nWb3l6Vda2RiV9aRDCJg4h+wtvUF0UQu64Ac6iv3P0yDmggQb9BWu5PJ3wDRDY27pdawL2ksYcSxFbYvy/P2klyBxuOvwO3olMbJm8BMGH8UqA0QICzJApWxfjeuIkGsYwYW0QX0yAbUf3LKKxOI76ibG/fci5+shjVkKOE5EGdoJHGWIGxgx5QIRxld3A0/XETH9M3Zfj7JiI7PYalk5mmk+C/ipqnZ+eNBXVExjmaWfXJw5AcZFRt4C6m7Xqddmt75wDL+5bMMAbhzipTW1ZiM+aKHjBp3jFwqeRxCs3aC2FnCripuaiMkXPMF+EY/W8qmvE7uZbdAxbiWHZhtUJBzu92ysh/YimOriU0CXCF/XEOvyh8aH+1/ylWFTyek79n4oDkGQ3Ek0HGk+v3AzZ9xoeDpIr0OfY78RB5CcJrEaagrMC9aGHbeK6d2SPUx6sDtdPqhtL5Xt/6YaraTT3olzaLeohi5EnolRxSUtf13gPCa+siY1Nuf8vVv31ni/tnAyy3Sz7HQDR6oocqy9DEgO+Vb7BU6T3YOeAZitqkuhesQaFdeyFNZ46uwtX6gdFJx5vG/Ia0/yfaQbpoSIgt7J7lqz2b72KhQQVYC/6aLEDoFA1UCK/ne97MDFe/M6a5AkqpVhcz0ElBgOUH6zlCYtETTx6uPRH5ZM1OrHtZ/z9IuZGMxR7BlmHfVr8g5t8mtnFNC2AjFOlW93HkiIl/3reIr3TuqdpJSZ7q78grV+ehdRX2tMWC01pD7MhPFGNiLkfNtjwBsSj5aXdWnZYhm3z7VAk2MEnyFOo/jQ841c8Wpf4anUo2Q3n4MeWkc2Ty0ZIDhv4Lk27IcI6SEfERPCzfMLjafnc5WXvujgAC1K4asb6AlR//2q//zHvm5KkJiqvywK9Lgh8D8gZrlUqf4OO55LqjQK1Fl4Er2r5pVQVPKJUAXPp4um29IqbmEEwwoWOcFmLZEAmoHbJWtB6bg+hEnCOdLkWNWFar/ogO+YpZxlqDLP0yDwPiAgiDSlLV2a7GTVrhDCnZ235fhte5Eewknu36SYu7gGOrT0ZUItx6AH4e6X3Rl11GyGEg97MW2ks897rlOE/395gt0UiZmzYa2HUpjmvPD1EWKsMUdtPWEtv6F+Zj9w3pdQJGk04XtjT4KN82JbdVtuyaiu6NyPR+jJZbyVLQEO9HN5LK+1H+aZIzyWi8TrPNlpUP6VZ9yAkJP/zgh0tl1B2qmClAk2cB1KycTCmv6xmUH52FKHfbWD895NlPMcjRKv54zqDXkr4NYg+XZet6qPzifcWs5ouxs8jEtWmKrcdpF1grhjeu5IvJnjeguWFdvwr16QTYqnxKi2XUE3XDG3QskgCl5I89PGVPa4/cxgvyyiqj1iEWNm9tHnd852BZVMTKGZZ+IPJo/LSVmlpqbiwr1n77VeimgfZntTYJjMNdF+WwnSmAAlffD/PacO6uKGjbf1lF0g4M7YBu8rgkFpd3Cw/1VsV3UZB7Qi540kTuRNv2ebBDGb8g9glYerkbS3JvaJvybrfcWVDOJZTDyVTdoQucKok9rlpslyxx+gOHeccKsNBCjZR1N7irNhnu8qq1/J249zYPmx+wt833ubfUHoVwA2dlt3WjKtkE+RD1cCK04trJ7qeqbQczC5P+1fSIrHh+tnLLf/BbqQcvC/mb78OlQUwGYWHZqPojVKWWdfr2eiiQ0z2W9bphwUMBNHLoxgq+ePtKioRaLiZXckSlYh6n7sLlk4HohrFoBVCbMgEvPewaGb80jKnmpt1xIwc+w0PuphcpGQXorqyITaAeUwc41lhGGLZlV5I2ZVkFv9TtCEJIQ0qtjdghy+GZfcP6rAvCAiOwBIvmlNS/hW+3sV953ACv2Cg8Y6wQohjE8ZJoqzV6fnecHZoHGeL5kBKk6r7daoW+AHAtKNBouYlLbQOwoJdcxUWxwAzLrDkbIcaSZXyMTtTkD4AqrXIZKYojQiK6H7i4Z0nyqCADzB2lQ8hrSegdJNUKWlvsz8PrKQ2/CK1BVnLRUIvzK0hzBTbrNp6d4RTQrZqtkYbJLXmIAcgz55/oaGuh20Ys8xl7THvL/m1Eaa8EBtaxA/Ls5DD0DNL4CiWgqDVVWWVhwFdTUgHUhGP7ZpgW8uzP63Um2ZZFt7uZ1JKJp10+7Ez6DzglvU9zJgwyVfpVU2NaGlPX0+qFLqWkgKHwBNXMbcOKDH4/eCS6Gy6fdsv9ckc9EK8DvKS6lBFXme1R4o5Nq+/d2xq6482dC/i4F2mR6KSa6Ggsut76QTUuCcYi4WXDz3PELSz/tVZ6ERNT0TudJ5b71/gI9+6OyMe76X3SpsAFCL4X6Y4dWN1ceISG7ufDS830tmgnNzG5N1Qgw/yLhxGlZ7lHMsXv8K0gowaHrKjv90lappvA6y56H/iyOf2/N/z+r0Y33boZWjMeyNGkJ7r6/XmVgkEd7OLm1/NQOT0E9JzznnBzKlGuOngdJeM084A7z3oqqsfM4CEecPNokHTQxyNsxIM5BR/gsntEzXf+tmKuxnezdY54OE98+SOclQvda21Gs2Of9Q5voAh0IXkiqimjQaWLNA3daIlQAbUam39N9vL/S4fS/Yy0zxbVLzh0467JzBTfpjLbnDBCEz28kqrcdWjasJ89GmNRE7i1pw/fEUxBPumvyRSNNcLSlLwEJX2GgeA2pZrnbDedfLXtqylGUZBsD+dFELwecrniraH95qX6WsmbCnRoQuHITR3ogVdJ1Dm1hF3nHQain/r4iry4olcP8XAs1WBtkiiOjyWGLDxmKF2lSxBYLn64K+THjTV8DrouQfMiHV1QLfasLfHk4WnQvhYW/uqeL53YuitWicWMq5D+ZDEXUoaXiSpj8bupE8TTB66ay/2Mf2/pzUOCM8d5ZwK1SYZnnbp1B/HD2knNdS/J4Z1gebtaDNW0n3z32cg+adnboQAmzh2FgREGrx54X4aSuL6tOSx1h/PUHwLusRle/WkBERIbCzZfM6PcfSXIievCQFkkeKdy/b+JepYWUUUZXHas7rbibDwo+/Tx0BIDc8a/ergJJKweK55WxFqd77rd1D5VTJ76pQNHNAelS06HW3HJAm5fnf1cexlGIEK+dEtJpnAB3ElPkmp8yfZyBIiHN9og3IV+EK6QjKTbSHY6BJDPT2yHGpPMC6w2AAAfD5KOoM1rq1dExVgc8yCubMb5bUUpeLYOmCaNYTQVgAFe5j8AS2tcD3rq1AMDU83Sgb9VKK3/g/5r26FSnOdyrsISiUzRBpYAlMu70x/VbJxGirusaoqt/RdQMJGKQMTo9/9vQTKMGn76S/Wc/vG0jRaznTNXvo9BxuGiEKuXn3ytZl2TtSwcYY/pXrpmQWiCbjZ1d6YcSq7N7vhUgqiZtcy3JG0XTDKuyfv+otR/emVjJqCIpILfvVxQbjuzunPyUHoPhsUULWHrQUK1aN5RlayIbw3Y8HU0QNuz476ipyA4Xu640d5IpIh2XWbJqehvRaQKYx2rTEBmwTaf69S/KEbFTT6TPdYvylOe2iJFW1O2Hndfbq7iCEv7t7T5tx9p2zgRR9EQJkfu51XQ/q11NEPodKh7QeZYlJEwdSKD0h1st2DFqmEXiE+xRya+kpThL+PXQCGzzxKlKiB2gAABg7Ks8K/w595MnebAsd56I7fym2fnk7Efuxx6Tj4pNm1H6k1kzcSZ+s9m26JhghrzcX5wvYVY4UoWgu54eZI6TT46lfYcKJqerlnMLrts9RHDeXGGQZLiOiLZG8v9ycvuJznAo7oT5afhPGOz6y/qeI09RO2g3d0Bc/HCLx+uK9C2bxOJtpnrSFrAi8UkFx4Fm0ZEIW1o2Sp8a/srNfyTKCjCcoz6n1WGuYD1c9goHJ9wFJslaX2ulVr7i+guOBmtpED/GqzuaS0HQRd44CYlFs9QjkO7WT6bHjgky4t5KdA5ONQRSojeIgc1KpaDZ+S8vtF6MQkq6yhw/B6skdYj7f0BjiQzxeIzihhJoX/x5YHgtfueo4113bznryQJx8A/KiQmn3EqY/RjBvuFgrfdLiNd95P5QtZxcUMyxAKsBFu6vrxdO661gmDvaCWoVklvZ8BPTPKRHZDa70ptGO3+v8GLxJQrYlFko7peC2IEnUL11jCH5TSsWMXdZPog2Np5YsQ00U63UyneOAgmqrvHdfJG++PSK3cYpPwWZ8MsYHRlsRx4JQ6RBqCFiv6q0AJKGahtIGyfjF7hpzkwpTBTRiNGfrNAkB1xsRIe0rSjuR04tAIwrFe6cb1UdNfyq0D4z5WfYRCyb9CTxrb37O7OstMuvSBSMJVufTSaM00juoGWniMuqDrqou5WdBLcRJ+q2nfSkSd0N9Jug3QkkigRTrL2mmoj6mzZpPGEslW+5KwiIRAGqjXptuKYcK39sQy9H/a+jW2QeaqTie0tEGP2dD+j/Z7RjjHE3tnfQWilho7En7lEPdF1zhCTKBksYw5GScFohdCsslivq7POX8vp+ZsNGKadvsWuA8RmhMTuzWJu1WCjyfwpLRPKamkltW6Z0acSWjkpQPxqtZNTDRU+akPtEC6/jAfNSCRuHp1nH2F7dVl3S+hIuDVioJabzcUy62IT1iOcIktuqkJQhS/jWoppHxrnfu6qcph2B7VQeeUe20oQbh9ohDCgB7QDbzK/3vzMBjvMB/kLcLjSS2l9gKEywqDUje+1shRkp/RGZbYImRyFHY/fnNNDyY22fy1GsinYhjd6kxIYqwGr7faK+jvBcal5tXVEdPB5ySPTsyYWSwBt7EZgJTEXiodSghiNNN9kgsw42g3xPITF2AAEcNfDFV+IEiiVUcS5CVLjvi5fwaMQmKJ1111oLvNEe7IqonDfFE4Lo698MkN50VLTwuVDrGAViVGTNFOizw7LOJkzHsLHXmnPY8/KUFuHimp4Mb0r8QprABsrKjMDZs4DS/tDvkmL0CfEBaimqu2ElGVIH8wgGiWaFL02158uSNwZmFf+G+kHxuA+mHXzc+SN4AAADAMoAA6uH9LlzIhxD35aKJsOHjU9SfGjdT5UTWYU7CLvMEX+P2sU5GBdaMyPUxlqbP+js/YQNDhH9vT970fxjKMUUzZCklRM0gZIKkNJDNGRA5TaRwapyk1rq5ljA0H8kHDsGeYkJf/cy2hqN8zFOI6D8gEMsqSnA8RsxmXfgMmyxLSgCAPRHhT0mjqOKf5RHYg/hYD86KKoJ2GD0D9buGK1k94pDR58r/r/XWSz14/CJC4juqvpBsObpwC7+BIpLQTwMP2mA8qseNZbcYeYlnra72VQEWyczEIJTGW1QFGa+Y6rBYHeMjSstkwfzaSzRIWdRxebvOwgnEf1Un9zh22NgYPSweyAlv4QneLq/8Csd1mEhC4lHnLLbTzWltNFs0VrezWfCEDLpLXGaDq7gJaOfR9I5fg2fiID480auNllRxqCl/E/YgijknFnHuNOMCwEW0gYaMsxqxCrSUe0cLIBwMv4e62dRJLABodi7ZMdNDSSj45xwfAiVUhiV67dU87RPTKkYSUDb9tOWehbvVvPDVIs+wY5b/cI8cEwvdi+zTH82jcWaURSWA0cfGTO995J4YiPoWBbOkL9jPfxWzvsG5Wj2L3dGTg+c1jnjPUGgSp3VAnuZa1Xp3fRofkJXxtOgywIXdFjZWXwA9u9Jzwxdk2UdJisk/dGNxrnQr7+MWX1YWWfi9c17w7u3cmXD54zxXru3I75IKPgAbo59lfSQoQ2h55a3awD9wNOtVP9t3Wr0s1WVif5Kn9YRUK3fh+FQ9W9rUgBJFkrC6X6egOqlWOqMoeSzMaP7IRKgms2EUP8e3JGvjYCWPAKYA0ljPO04z+B7/20dkxcQfAijXlEXw2JcZOecD7pZhb5go4XIXXE5kOmDTUlDJKabNrq3N/GO2ldIlGDMSrEtqZAs4Ms6q48XyhPOom/h7kxTJoGyG6Q2KBUMuI729E35wCoCp75JGqgZgKKB8bwzYH/bnUG7NVupysidQuaAHbUj+hRCGFT4X8euiA8ufZjNV2s2z3l4AAAhhPpp5nzzXCRRdDVIyJk0P1/1enzoF1JMcWMl1UELgsvvELG3L424uXdB0nmJNoKPAjcEsT2EGFAra5zLAqoRhZewzhT3RKhVlzZaGEmbK8C/2Obs3Z3Zn/hxsnkgJtNtvzOgN5uAfOTDI+G/C4psXdXyJz0oGH21R+bH6w3IgGJCUBJEAnw3zKdnJSLutYCSlKUtsKEi35AJyCAgK18P6V2URGtEL/Q4JdODdfZ5NGArPBixJlYn00S64fPRMI8MgHXcq5r0dDTK9cWl3sM0bHoKK6dOiRyUam3IRWKK+bxchfHvfE18cmN9lcxcrll2/C7EZMQ5kkXj+6FEz3882hK3RTlv/sJEnuXpxeKIbM55ciAMeG2YKZo8+M9RBO4kH+V/wJaHUIc31OVrQr2bn8NUGD4XJt8N2xHaIMUNmTh1uQRr9o2MfST7bDnDizBA5c8MHODs0XHhe9lkNP2u1X8SuAyQYT/W+JisvuucWSlekmoht0LQbVOXycGW0hJnNXBwNcKKcR8TuGoO6W+As8lQRTjjooA8Uel+K1dWh61L1HSwPJZzdggskHvUPhfm/zyQjBEQ1U36owsv3nOR6EmsLIZ9vrb0ZzB/iK9db6QLYDdZXZtfCcOsX49v5fd/yTrHBvUijSRLElM/1TzRU/oT/MsNmLQksX3wXB5OMcZFRykIeIeRpkjkIOuTUK2SUD3t1gACWfGAGQWpBW+GdcE5UANLMLzRoa05ylp+VJoXOzFQsZScIUsnHTL17+t2ctc5rnndSX4RpsLpYkNaNk5DyZf8nceK9morWp2VnN7w1D9XFgeogpdMP7spq8c9Wa/fHyBS0RiKtvxtSKXtL5M5nqyXYPuB4KVdfwsij+G5YbemH5hMXbtUWAAeU2FIC563pVpGOQBrYms1Zf5HIOxHDBkjGicqYlJ82v7zn1MP7LgIyXMzPMD+F9puWp32fRSG6HWp80t5xy+hhFTm4pitvLOt/XFyZbYMaYZMG7KZWWi/r3DIvqcw2ibsBy04ssPpjDzP1Jex1wQ5BN/Kt39nQUQG0WllWne9N1L3OxTNEbcI/rq+DzS7N5lTmpKkUQrL47PLB0+WCDuj5Rnoof4KBHvar02ctFINdtTF2RYdsA3Xj/NNClza6ik4lyRQt3/3bChaDDmx1StIUSBBYK+kQuToe3AJ+PdiJ+hltChRTywJXzo1OVnsBmBK5jvKZCtzp4zTioGhnyl1LHOTvRzTrzZ2fXloqxg+fFytGsFLiMY5CBK4yeEnqr4HiD0ilXWtrqUK0lvSG1H7HqfO1pW5TaDcnuvS8/X89z1HXx0c0JWBZloPjFrqJiHCpJir//E3joUSOYX8JGpmqF2jv0uusk1b/lBvcflp2UaOEj3jUeGTUR9v6YJpygIzixARC7A5E9FGi1g0aBFTxNJRzLH9HNY7NYoYlRwBtJCiNwGF4t/4z35HWuVKVnr3Ep/tWGuZ2SgBasEzQDdMW+M24K9fT43KpT2JvlYcFSEdFFP1uJghCg2IoVaXB6xz/NYZEagRlf1IuWGCp2tglxQvmrqkN7mNFCHKbhSfMW0Tt8QMrpBS7v/apkokXoIMGqOGR0mU1sebsHpWbw1vewANbvA1zxZSk8n23Zv2GUTS1kEzap99lbNlGsM8xV4EOY9gE45Y0NFe4KUBP79j3xMkVEdH8HBrqKwZRWRf7xS6UIozdtTgNJJvIIgI1aZaBYEUJLnQkxHuvgQWBftOB9lMhYmeYlBhQ956UWqwSBF9Vw/w6p/Ccmmc5OgXv24foR00klyoCMyeQq88Aq5exAKiSm+iCKsfhgAOf4wCWo/f9IIgAAQ5qmm3qY03NfT3Ec6xzaXD3bWpyPBhYUGLDYY8FRfHL92w4O4YjbWuCIFAcFKeQCeWQBIfr7ndpnvFPDBgAAoQnX1vrCzb5Vd97SBBghZKUzP46OKs8if8aUADZMv4OSqDmrvfQzu0z8Dh2mM/v9U90QcFztLYVQHrcrmuWDp3SdZJ3sVkoYjD9vID9+E1z1Vpr93zBsr307ibo2g0K92oesB/ruGDT7Ebyx4SPmzjgS6R5wzkH/wsSso+9BDjXzyCpAG8lQs89LrEBSNSoMlDEGx7ziFkElfROsoZNoOMVEEebGciJWMTASNQRvIdBnLPg9HSTTIGPeQxbT1A+/UbFuhBa2df6JcS3LM94pchfGq+ke9vawBlq2sLBEjrgjtDmbQilU7Rklrf6AzavS2h2//14Sr6L0rQDhYFWYM1Wx+zohPgefuY89K/Mmqgdx+6joTpXhNdguYCvJt+NyqtGioWfkJldCL6s84MUCfEZ6qW8jSe9j8adXe5D1KMpyT1HpPj9F9U0sdGKDOzhvv/LGKZTs1MceY6ah1WUuUzadDt3JHRjyOY1Fr7Pia2vfMKaLeRxW0GYfDaISYZv79BzcFAcD+kIrY1W+yB50c0fseE13/JdnG/RNYB8gG1LbHxGCxzVROrTRu1Ba0J9C2Zv/7uN2l327f7b4VJ0Fiizg5KmdN7znWdfutRatlvfvwmDBHGGRDCzFIn2ES6cLrEEhAmoCCtVlo1JBgNmJaD02XOhQu0HYaRfApPakDPMC/hSlx6T4n1LhckA04kkoC3EWYcvmnvnfCv57YhfenP3wh3S5WtFC9Sp8nYBzdENvWz6qAyQCPM3mlzoA/w2lCbv/5jimUOmPSBsgod0Wl2k7F1iKoDTPuA0JLZ6UA78UteZ2LdOkILw3Tg9+7h/KgLs4XmrifkgzRSkMvTRZLOpT+/oPQArndgLoBqgcPzxm/V/35LXkvKSvtJG3UBiHNf1eLv/RgevATsZaEKVnuq3T3ftt/sFV9/Z7b122+HAAADAAADADTWkBrXgXfDV81bM/Lgva/3zSftV9PasFJDb6Wpf8NsZOxlWl5sDRGzeMQxAC7UIPC5+kIoih+1dPZf6h+V2HUNUclvY028zEIDVbh2ZVaGv+L6V8U/++sD/kcLEv8XD/60IgBQCq5gyGkLpdkS76MycdmAp+wvE8rEC5Pg+iafS/yVi2//zgyNrv/nZG718sW0rbeLB/uJG5V96etIoiry6/lTIqScndWwCTpXT42BYq3ieUYy+T1gpuil0S6H9CcD33H1VeGYkE6EYbq8Vzrq+tO6S1GEZnSb/4N6sj0EvkMHhIsu62c5TxTPlX05/83lrJTI4kT7nkhrJsvrpddwn16SXYiqa/18Q+nZvJ/FETcvniWb/lgos9xV7o2T52dfB4R7be20nDg7fLP+gef5ar3Jdpg3rjCyca96DWLRHUQPVhoW+i+xt489E57VFTTCFb6hZ6fECE1V7FmMRGYdpssMX+BjFsVJFk+hZU/+tiQ1vFNHFUJIT/8avbvTaO8jd577n3Fx9RIr3fCaZ6FXDfSxnxvHrLyLdQWvdS1mi2eLnxuywqbmRSUn850rCoYyH+uo+d9mf787IAyAHFO/FRgpVr7jOng/Y+oEML5GfZVWNPpiFFBi+u1DU5dy/rbVxsQaWrIJ/cvFtlzS2cMLbMrN3z8pW7nHY3cb69XNdYGgCcf3sBgjsGmAvMxC9SselWkIU1XtkQbcblKWmEfNrVSxES/NiJYrBcWNZw9uSD5lr4q7sWJ0hMcWVU739B3nKa9W8KmsUwGOWaLrp8CbxdA6nk8CsvjFVOrhBPouyC0SsKYOU4+XsimKEmuirc9Wa1TFwD9G9VIadsqty2TC4fixp6vw3WDx9DEUXTYH5LFjQLK8NZr1wi+xgZdVdQ4oVNbNiCvfL7zysv+4mv6LkKadcHeOMqu2QNniWGf7CVxc9OMaJBPRhySzBQRd0mS1KXKIJ951HAAAAwAgWiRhVA73QAAAAwAAAwAAAwAAAwAAAwAAAwAAAwAAAwAAAwAAAwAAAwAAN+EAAAS8QZojbEP//qmWAAADAADBe6UyJf2AI+PLiyeuYG9rYdu7PnQeKqiIaiC9w+Li/MBUrwuh65pm2+2/Hv/kcH9LklRLweun2sBZUYpN9FhcINRWcyGGKoNDYfJkPSodIcUECNVwfhVLnZNXDOQy4TB7zHRyAbIez7T6dYnepjtRx8ygWKhAdBnuMbFAMNVqc+rZu++vpVY52Gjqty66hZv7wCKhvQsTvtNh9bMubMR/OuoEK1t+ffUut7qZtmHS5k+X0smou+5f16sur7klb/+rSumalvXtuxVDHn19cPcNGICsfrj+OorCzOCgwcjdk5yg/8W0Q7rohJuVYulTTwz3F2vzFSr0svcTg/31B+V6C52vdPwCmddtAxUzXimrcxqOvAsbvfQDHdjVCnfoFj/PMINnY5WPGhFHdCjts9nzAwb9+utzw9TjEPdFiT4Kz4mB4OT121usHZzhg7XwqZUFvRlPJ9goMaqjIMvpGoMBNv4jgMn25bLs37DovQ4ZgBrjflTkopdQMpvGGlzyz59x4R1+0lkwOxYnFMnmUxZBTTt7Qi0W2+YV9eU/NhY4ujJ9XfkC2J6Lto8xTiRkoa3rWmN/6kcUbJABrQ+c6t/xPxddTLVvd52MZkGwxm/wymMtHhYmYahLd1SG6JGeGaiJoS6fpQtDqV934hr04/twvCu/6rQWnZkIIO4oPGgiZt/wneOSAl0iShaAY1CAs83xqy7IcT+zy+qKIPx12HLLm7UnEBiF+a5JM1de+Z/w5/4O1e7T0i7pXPKAqCo5gQyL5DDhPYXKP5LdHNKeUDGAhF0RJW6dyotmp+BtwkadteOh0Ls+se4LjNbYN/emX0/e8YOUax9TMg5NJrNmyd0CvGw3lmoSi7VHHnSLOLfs0mgYLDhPs3RQ2lIu3MB7gQC+2YZ1Ml8P+Lby/lgAmnFO+Jr5OTDDdOjYeLVTM4ADyN1ONXSJ9fiq1bTOgwGB8ZU5iTTP9N598settTbsh2XnPjskrfe6FVOH+Pk3Iu9iGmq+EiXrmjZV718LZ8CctP9ZDaXgyM+ccHR36We3BaYn5aMpDd1bs72nyLfpSljxDqVA+fqQdM5FUHfyLZaS/n2rzT1NGiHzzvKe5FPcx4Qm7NbCJVPd/PTQWfykIkXqAMw5j8qip43gg5C6y9ANBWfX2Z8c/t8vOWUfIENTqHr0ww/gtpjFFV8u2TYzTxO0ob7kYmbRoaxZbUnGrYNJ+HjdorodCXpRKNbbd8a+rC4vNomwswgccm6n7kWvXoJlIC97Yd3G4qeVaJcqQ898rWC2i6Ki6pC2daOdOiIuyH+Gb8vDkvb9WQlvdXtMaqP2kLo18SN5yjMi4jOVhsf3TOdJsIER0OsEsyuRfbIgob8H34OPXLvMCs2Bo/NiVhphODo4k0ciyDczhJD/39ccusjgjC671IA33I/dt1nJv2hoRMsB1RoCCuXei9+bcAJwtu8TT6yTciUyPW3i+0mdIajtN14UJm8Urg76nbbaFcfoMDS4vgD9wtfq5jfl1ynfKvEXcLkU3KqsS7SZy/zy2Raxlv6Ug1/3AbskT0/M2mVfcEHqeW6MVWmqw3IXTY3v/fGid0Xu9xCpNIAAACRgAAABSEGeQXiF/wAAAwAA4qPq6n+qJJBh8fCle53Dm8fcnOFP5ywGTLMbIAp9DE2k3ORVd13Kwr+KgcVgUJ14CFjX1XSYL8mUTRPtNBy4JfsfgyyrN131gKcAOHeKQcYdhL+3HLkmJgDWov0uOtilC2P1hG3huh8GuuIsI5MsAw2GcYTyVMskQxzjjOrO70rc7LzjguybnGxBl11BLr50ZxmY5afaWkrfqw/yHChu7E0kr8ODiPlqh4M3d4OYDzz257+Fan8QcV4pRlVcuaaMVDSSOtenJVnbnGPTnPKWoFywJ7inEkKkAb6p4BWqL82GCTCLig9snJy6rZ2rrUSylHjxKrmX64oVjl9FPUHTBCfkFCHDLaNI0hdEgKaowBQ83B1L6fuomoHMbB7BoAjIi2v4H6++gC76igoReWkJoLajpCv36hLJQAAAU0EAAADyAZ5iakK/AAADAAADAAADAAAnVmQn+jstddzdRatqhVcmYQmIELwbQsnupg4BDyTNh9gQtMuUKQbL0iPOuR9ewFdvQAbQVaRBnVILFHUXG1bupu7IEy1oPSpAVnVazP1Le/FPGR6AsJjywtCXvP29Vi4tgK9UCsQZ/svVuojrL/0eVu9D2OwgQdT0C8M1hZwIZSOGzOKI8pRr9qElaPuuBr0AgDb+XT4YiAShyGWloX7VGnT7Mh3Li37+EYX2Ul7gCuayQ3ppF8CDYIc9hy3X4+JgY7JsAK/XNw8p8OiW03Rhp7WyAMEATXy8jEbEgAAAwIAAAALYQZpnSahBaJlMCHf//qmWAAADAAADAAADAAADAcbjNtyu8ftYIQBHyGHgesBbkMjx2WiO97aTytvyJz1F0u4Ca5fqH5YUsCupiuQsvz2T5s7K1iudP0l5sRA8j6jydNahDWXrxMhRzDmbO/ItHhSnFY3HJuur8IvE5k1P098LIgt3vE8U6/NEi3c7XHBoz4FHbHpjvnOl98iZOn38gx0G+GlmfL+oc1gKH5jyb9miqBhc1GFTZpBAWazC1RnjEinHSyaxmP4kQOzjQMeVEXABF0yjwaWQ1RY3g7S/yuH0X/YfNUYt7uQPGKC1ZaTXp6kZy8BOfMAxjzuaH0M0/R4xZFEzaBrRUmbaBJmKq/QQL8Mgz529svvgm6cSXRUB5D4FrhjXM6/l8eiWp15VdvAkysqFUkKyR1msx6aEDqt4ZjQkdcywuekIKKZEL3YY+yz54076cDW67ZMIPFGMgzQuOsaj88w7w5YNrdxFdPT5fxCc/lfjMuoQn9KgHTLVw5PtWZ1xVcYHdb333qn/4vMHTzOV5HREzr4YXGQ0wzLgzCnXGTbu/nOKG6KPjiYfaGGXAACuy9j+YzobankeWlGbGO8rIX3E/XPfvoo1vVq5OlfTZymtKlUSnLW9nXkx4z6wkiJ0UxRp+eteErfo9kuwh27AcrL/0fdxwyDL2Jaz9I2pduIq9SxnFs4ZUdQlCG40/s/xkK7UZIApzom+QcDBMKRYLk6op70cLNEjb1K6aT6xtERvEJTIjblk20m1cB7naOCiEc38cEH9P1OAIYcK3zk31Jxgopj3VDo1zTsbETEe9NzKWTJqpf/2GOGGMP3PJqABaIEWQhdhrX1Cip8rSFtu6VgKtke4hYPfUo93uPBEVsMHUuniiCuUuhY7DywTEGe21KAtn/hSplz+V0F44G4xHDggJqDFxmqLeaLl6OJGuf7OdkqXIVhgz+q41MnKHiEFMkLah6cAAAE9QZ6FRREsM/8AAAMAAKhTT3IAAAMAhSGkIJt/P4fSL6bZTLL5+XlIrvwWIgYZJ/JCAY2jcvyw/r1Pb4wS7tHn4v2DqxiPWZzBpPxHYzdhs7Z1m2EAkbDEliLooADU/PLrpIVFR5dDTiW6tkaDLryvLjOVbRhwLuiczVYYjR81hoK1JxoUwUkiVFYDubrOBPJlmbScr6BSMvScuFFY5BUbYouydagTvw01Ub82BbXeEFSrrzcLDq3awj43NbmeC+EWMoNCuL1oz3G589/0ePJeYKGo03Ye/OESXHohIQeq9wajAK3oTJnepysrM/Pp5CqZ0LTm7SyD8AivX8r6Djsp1qTsbBNKojnM9ujGjSLg3O5EqzN+SFmwb7QvJ6ZatwGB+AAE5watqDto8eciFEHMAIdXILy+pIYk6AAALuEAAADLAZ6kdEK/AAADAAADAAADAAAnyYDxS5/NFUc4Ws7ctdzVUMLwhxrHW031QTwaNTwKBTFk7AQ2ixl7FABfGAADQzGihhX5q+1SKrJLHynUqnETXTx7aIrqpvSWTRjTGxC3bpfEBvUKWMY4l7q2l0lbwZImeG/xkgytItZpawGIABhWUJDQE8dOURQsxkEx9YSXoDGPmJtt43VXW0dYnGqnP8nxfrQ6JPAQTq0cOjww7IgACWo6orB2yClJIMMrHYYE9+rJy4cAAAMAL2EAAADAAZ6makK/AAADAAADAAADAAAn1flxNsuE9sa7HYARgXR2LazmVfP9Z4b3L9aKbAIlvx/IRKS9CVLrtgM+cE29MXKzqVfiV0sQLThXmGRcR5ZWDtYNrAHseU1LHpTzxWA432nUoV15FuWjd5EN+VmtLhUNczRFh2YB5pA+SJsBXyNRs7IY2esseeQ0ImGWgLjpqAf234tJsZ58ZtlJbjywBiifpFcOEhXEsFAAIJZtYYJF3YMYAAAcv2gBPBAAAAWVAAACvEGaqkmoQWyZTAh///6plgAAAwAAAwAAAwAAFt7HEenZXnfeWNNc5T2BEsYfrrKXwk/ECYH/iiSJusICBvPekZ5PnN60qs/Rm+/+RcPVSSSCWQw3xP1y28W5hXksEnTwGnUE7wlwA6ICmW/7EvKL6yWiilAUd7aWiuiu2gWNNfLyYlS6RlFxIOF3elHtTgOh9FJKOhGmJjFiodG1MRUJE3MmFsvxPG5ldLn6GKicElLSBpwhBH3IfMmf7Ws9KVQnbeWomaUmoj/6W5WR8Y9BDp84g7OP14mbFyRklfieZftqfq4ncssEHaErJ5er9mgpr9tKlU9IQxJBoJfgqDFH/E9u+qt/zqcF5scu6IdzE6P58LbaI+vwxLQp3JzPYz0GJTnePYyJxFPKCW5hZfXAnepMosTB1B/s8gXIxSoKkkCuv8ER1huMCfyo/2H0np9hT2lGY0sw/A6VARXjm0Exl44jg3zDDT5RMDQf0Y+gbO2T1TZPtnVG8qeT1phLvOsJ2YG0lwhqv/2Imblca3h6o6ecU6ylBcTGmlvmkYo9RHn+oFKOyla4e/WyTzFsV0NsNnSeYOrewakGJDqyBYsrRNQwtLG/U0Qp/BWjKj4WTQXcsLUvDRI9YNV1aNZmiAsjIcXSM1/3LBpkFjzvfxob6PH1kLg1ruO4LvX3J0QOneyur75JMJ99kFCddqgqRRJ7pERmzkbJxSH517a+DolsTxV/L0PFuAS6ybghAmtL9d4w5RylG7SIy/uYm54Uss4lvlvuTfVolruzZE+dZenZhAEjTYCkG9piPjS1fpWIShzxx5GlCfRK4hCzRHwdOnSvB5MT3NFTPW3h/hXfsbe7DpT33BFpOqpaV6UZPpaoS7UjL9j0do2ymVyXKQI1VHh3zWvc8EdGGXuu/NDx6taexvAsgfkLunl+Cnw5KkgAAAD4QZ7IRRUsL/8AAAMAAOLEWgEAAAMAqGrKCUhx9+9MfMD5MAB+QVopOH2pbeqnjGy5npHt8dy+JdwOfWsQL3bDRC/SR/vgBV/hQadALn1ajM/h0rmvf1/VWraYq0NiWhHOk5VL42nNs0dcIG7FG+o2OdsqcJxvLM9X6k7Hpnw3LK4Ncm1Xl6kA0IljLdN5ocRgyxjdacC0gYSPowL/GiUIalmAmvDfeYdgO59tMtHadmi8zZ5l5qf2HpLY6fLVjatTw+KktEmwpMZR1HGk814Xhc/QfSjUJYzgY6PvPp8+UPwIMeAAAAq2IM0zgd3/GCoQAB7JM8AAA+YAAADTAZ7pakK/AAADAAADAAADAAAn1hPYnsoX0dFODmyaSADZ+v0gnjoWHpxLgB6HLzNoaxBmMA85vXSHiwubcANBQKPZKB69ozJujL6vcalDICrOUUSyrK+PYHtVwmyaivuvpoJePz0fIyghOdyOTkoy//KmIsE2nNuWFVqKNeewGKlcxnjeUV2htLc4ZjP/t0XVQNwTd5tgZP5WxoQZCh0DM5SR5MfQtxNNA2jpYtcYOE3ItIBpKIvjTOpHkTGcAAAM/p8A7rpTjy84AAIlFcAAAAMCpwAAA9FBmu5JqEFsmUwId//+qZYAAAMAAAMAAAMAABbmJFLle4gBG8UijFAnAP06wV20g58wrJLrR1L4qcRmjSpHKlOaxT9QmJvaB1g7GuaYOSYiOMAwUIU1zPn50gaQQFxeCyMeIEMQ2Va8hHph2MRNJlM+DYOmSSTicFt1sZ67nSzHJVoKY6gwhYxj3mhiKfUTN4AYlTt6RNIZkFq0mxUZsCZTzoajMGF+tY3NiDFxBK3tpBHVi4Hc39OKB6KYHMo2iVHwhi2lGvBg5XJzLvpru0GC4dVhDzMqxkwdz0R6sgOUsbusWs1lAtgMeOQUFBbzqtIYMwExbAsNAHlblc7qmP5hcA+zDHrWheAA7IL6ox7gKv9AFeb9euuUnevMIRSGZbRJi3Z/RN7DFCcLD0akmtPL2nRSE0XmyaEBprYXD4swSY53ohDnbLTu9tbefSBPAhf6nzSMzD3qTQLAXiPZzQymPn0g+3AxONmknEp1CBucgzbz/yIQHbym660ukgCKo8i/62Kqq3R4Zk6yxmVUQvNDyHBgsIcr8RTuHGfJSBshfXs4sMMoyZejtwqRX8+oF0dd2wPmzfAVHo/AmVTRCw8098J7MDtG0zs8vOOSn9gmbGPKZP6igMwwHhocuWY7do/1hGRvSmOZuL0czB1zKjjVLlfj4WvgS8iyAI0BqzeGeR4hazugYR+1yNmZU0+K1cw9spyMr6K3hCrHecOwGo9Wf3YiQ1239h+UVnSWtZXinCh6fN3rAVeWO/Yy0VEd39VF8q/utOkF4BzCmKZjRYt8n62HNXzlpyr0RgPOn/Qy5iaqRZS48yxOvXyI0Ool0Cw063C63dYbANDtfJqZRBtrLW07sfXPgjnF7ggNvB1o+PN5DfWBFzToh7EDkXXoXxFi/k/Cu+wnkcousWN+Y1gVpx4zhvUf5v/gfOmT2QRssRyxdTgLZLHcGw04nYqO3bItA+g/JNzj50A+cpURG25WxIu9qYOl5KrbVaYDjIiBnWVFysQJoo8v87xwsQOpBP9yZXaC/TFWr6sqcefqduT7S/3Ka/GWcCgiwEb/jOJetZQsgGsn1BKXj1x9wD1xkKucnUZG58RG6Br6SjXY/XpYHp3qP7k9UegJGPAJmN3KEg5FL+eDlO8RMwS7+iboI5oMroKSwNgQ3m55u1IHt1nv8RPWgX6HsJZSKti4Ub2b6S5E3f7XiMhM/hfifJrJGqyiWDPvG5LL/PCax+Rzi4HtMpEQtKShQh/oHwQj08IWbLnn3WqtM4Qc41ikNdBWczn/bUEK47zstDY1rgLz3jMpQAAAAZJBnwxFFSwz/wAAAwAAqFNPcgAAAwCG8nwW0chzZQ7v7ErizckSQO5zIgAtjl3/nL+x6ECOcT/4m8jw5Io0Q9oIDrNwbX10LntaD/+uoAN9BY3OQXgx0GmlXhZO2SxNRaUWtYLDiux+cbIGVw+suyLEnKRzG7rO+7LRmTi0cEAkRp7Dzi3GkKQ3OPvVmV8nvCBj2Jz5IWYJ6IiRK9H9NcClGIDqpdP4/XLGEQbefeLqF7Fr8js47/qxfrs6K0U/e/AZbz8LZ85xcTl7dXzbhIQF+MarePcFbqoNq0J8UarDhfE4H1ritTbcN5uUefZV+lcAqPd+EIv09SNSGVdBsmCSMyDCpMFxrFOdXTNQA2D+mbcC1OlaXf5JTvPONQz0H4BO/f2sX05zn//BcP/1YzX463kPDWVXoyH9EQQlh0KeElufuWonTIFthC5jEFyLZTLBVtIFZY2ISxrT++a3yeSS6uBUUYjqkWE6EJlZZw/mIyztsY9Xr5NMDTTkEH1qQAAALUXRBXiWsAAD7ZSV0AAAKSAAAADLAZ8rdEK/AAADAAADAAADAAAnyZsWiWAHY4HnG+AA6sgBoPO07PaFtAo0VQcgYF7qvIm7Wrjlkv8hCuEe13GoaKHu28+9iSXqOwtrdi4/kK9GYaaS4Pse4tv2MRdT+aTpzrei1QQ5vuhMQmgnC65NYtsw0k2CJHPGV11+bpJ3lCwc+D2YSQwFq26/yjdz1CNnyLIZ0qCDBUnEWjE9OG/+VqRCxlWzj8to7Mm6gw9QLqWCPgG1bMLL4Jz3gAAAf7CwgAAFEAegAAADAj8AAAEOAZ8takK/AAADAAADAAADAAAn1hO8EttlkheDBwb+KxBwcP4LeAB2RdDwM1jtEkJESMq23x3bGqss1kWbTknlIsI2ckycZjVBfeWkGnXkIa9Iaj+a5+wRecOQ50Qz/eRLF6tH/qh7OaaQuGWQG9eP9+wyE8qUG05NfgSMUvvhQGtMCwiYqyQXvzuC3ttunaG6drxxyIjetrJLqh1nua8ri7pMxPRcQKVGlm05LSkl0z2IlMu1kYF2Bfe0KPMkU5QKlw3p6BcoMLjsDuiQ04XIveLuU6EPj9845ss4i30ipoweC5ZWy9TfI4+BxBjpospSXoFfD+T4fkSNIA9sWAAABQzKVgAAI6oWAAADAIuBAAAEQ0GbMkmoQWyZTAh3//6plgAAAwAAAwAAAwABIJ+xYNb2UAbY3Wzo7vQR9ZDfOIL29N8g5UB210jT/IACGlVUlM3MmeqYMTuOzm1HaM/4bDcZKYi4vlOGhFZ/FSYtb89O1SkewcOjF1RZfAkh14kxp6Pf3Ps4M8Q5VL097cKVLFYBsUWMS/4V++jUI+b+0fOeRolaM+8sSd9usHcoU5/pb6umrRzrMuNuW4OatVMAb1tXnfSXyb45ZnKK1smqPKxPRsIo06Uw0vrx+pPUq8ZIt2B3tGP0OqkkDZx2QXc9lEmP5xaJm+QUZi1pTfNLLcj4uxCBZZd7d60Cu+uwukC/dle02qvETAfmqXdE0jGSoUUfBM83uHcBNmuUj0C9gISxErVn6a2l7aiGwWnnznHq7EYo0kLsxXYUdTuSKKM4FyCMq7zZM2yU0j0b65PglpOX/QnxfGHeZI/YbEecONg9I+bRI/GCrPfwda/vKdn4hkIavWELUzbjnjC8WChXAnje8HhJ5JUy3pQxnsfWlwqqGOSf8V8+6imBYVuvWFp5UUnyLDNpMx4P3QUV1TzFC+7XENguwOYGfEX08t/D4qL+TsdSlDrTnC2z2KO7MgXTPPk+kN+mfQJ18he/6/1Ce4BHxW46NaFxayNjHBIXwv4cS+G4Cn7ADX/z/cy0tUoeUUO/5zFsKebML77wMmp/EVwnVxWdq1C4Z1xswmJJOwcx0Id00yNMn/P5W1kODs2pwGhwLlz0+M41+Vkddw4hX64eiLKo9T1YnAKshwL3cui9rn9i9zkglSel83YiVf4l5IbgOLdLAZjG1f4/A7ZC5ea++eJnPc6TEplQUlgsUabhE+rPV923jDfltXLS95pOGUXJEQK41tIBQyx/1sC0zg+Q3hYUVC67LKZU0qBOW6JN3xoOMv7VlEVFTZhStD+ni3M6ZBBgonmrB7sxz2G2WzvS7d6Bo1wzTtplrpN9f/rultI3r7dk86GbXD3mvwXAgoNwPtY9cCU01HtEtSL2ACDnNQxjELXNrxEEV1XcM/misyK0N2/S3NMLA4x35Sb8XJVVIuAKFKFFi02P7mJj/RSKMUEjv3lA6q0Q0vylQWGUtN1/FOSGzKK5rUCk7/OqjHdyA8KoIYHmOot1w+kpYP/m2AtMNaNpukB6d3uaCh/5kS7l1PIbtXdXHMYFNkVYX0lBu/B4nUfSEKtmZT62fU577rbC26R6FZQiFw3+ShdFAGDcya5D65qu9o4wB2PQJUnxtYeKoMyXNS/8KZxixzfhlTmKiGNEY0Kr1j1nRMBOG2Q295tdup9PeIiOkAR67+iyGXUG1NSMO5Q94MHRamN9tPoVF7kbCq+0U7Kdf7KphdARXz+aWjfOqjfFJ2oyuy5GFGQ5l1fl6d+2s1vMoeJws/2pzVCLsC8rixcdWdOorEFhTilGxWTHszxwpnk8ZKAcZ7ktAAABvkGfUEUVLDP/AAADAACoU09yAAAGSMcgXTtS8ufeVxP7Y4/Q4+nO1+MHCACldO/t8ZbTYv6H20kzNNkuPwkjXFZGn0oj9EPkrdqSt6MhcRGDL5nC9+IVRXyp3Q9/8BNg7OMEu8mrowtsbU8cjZUefqPsTf1YnOA6JgZHrMVNtbh+VeOtj/ZSVv+By0vjE9aLp+WrUZjCvt+zYvD25TZ3jbg0zWg5CC8GUMA37RXN1QApTXdkQPTm3AB9FKjVBFklHIpOZuDJCakh7bUnYorwdQbLnAjb5vVLMFrtJXGnsr++i7B+jpLJ+VVw6Yf8Y0OJo39uJNw8AUbNvziPj9sGzjj1YVX6NHYNRKXSi9s5jnSoypC249olOE8M4SP7WjlOIM/jNt7+vE0vXBeI85Pd7K3Fxe4tChCzEQaJpQ3cKaKPLE7VGkbXJkmhd37Eizl4cdDL3CZsjdwhZdKlPA8i7Xw4LATxBJPO6GE2XwVdtCBr6w7UyMhK+yp9iRjeQNv/EBpLdswOFpQtcsjddBPhJ+CtzL4YuHFBu1Ul5lK+n1dpCr3u9f8LJPQ2NNSA+rVYAAADAALUIAAAcf6AAAjYAAABrwGfb3RCvwAAAwAAAwAAAwAAJ8mZDEqhtc7VgN5EnIqxmt2iiPIAQDRaeVqS14OrvYCjOlBxgZzGzYryK/PjhloFo1rm56+5yU1oNe/w/OJujnIsmp3MoczpoVL0k1Wv/+OsVNcTRBQu+BEVDPxc2+oXuPjaKd5BzyUMTOIkqOEVxmqi+kehw9SEvzrv41l9q3tAhkyByH87nCyxy4j+d4njItYTsBvtoEuU4Pzgz5JPhk4Oqj94ArI2E4nETDIUuwZHOJWCPoASPP9FCO8XTN1Sph9ZCHbBPkEP34UMJkZZtfijtQNKLMAuXMy/jmry0NLXdBd2Llam/kRYtO7YkN5ekG4WdGu8ROR+mjgWxmCRUPoazsRd+KcYeBNgWxqF4gTEfloKleV+NS7TJvPT8r2jcOPtrltP5OXcUznSQTf5mkBafXypyfGQ7f5wVZ7AXOBjgpBd5XfkXcTkvBo+6NNh7gVmIPYj1WDX5uj41U0KaUdmMkZ3f8D0AbYR+SSbCTImfQDmhSlGFhPyxulI2fPgEuLtaZ3eJ3GGQfAiIqgAAAMAAAMAAAMAckAAAAlYAAAA6wGfcWpCvwAAAwAAAwAAAwAB0KnqTmuDnYombVwsFu7z6yUszdbOyZCZABc/NFshAd8rpX9mTb8f6E8KnFycn1HI/veXhG3rh1/AXoWLFHsSNdmsfm2V7qbZ3EmC3Z8oB+dXXWJDjtaOR0sRqjpK//8fIGubiwU41ZJgwF2vhlqXZCgQVcxzDIuWy0XIaIduEbXHRbgkIYT9PL2EKgyAbkCAoKS8dnU9OVSvFSBxmeZ3aetQ7RQ0LugIgPbEHvH7aadbZUvmbE3etLBM6VuZ8W5e4YuW4NvyvpQCQgAAAwAAT0AAABtAAAADAqcAAAR4QZt1SahBbJlMCHf//qmWAAADAAADAAADAAEgn5ngEwUAbGOG/fPnXi02Dn+G2pf8XTkItLVVvzj7cO4huPCvv11YzAgpNz4lnAih07yyOjRdCQOTyGepPgs1zxh9V3xhN7uDdIS+vk5Dv+PUZaMZvlh0SIsaI60L0fSqrl90cgA53KjMQUJXW6H9N0ZWIrF627N9A0iA+fGU3+kknJyVAC2jUdv+qexxBQdwrjGuPtQ1sfiKE+FqSKWV427Kg+B8hKbDAfK+PSnig3fqLcxyfPbOTFN/8Azs162cnKeiMEAYFz87bjjPjG1hooKhZ52kLNC/lMuPMfRIiMGh3eoupuf7M/LXnsoQbJfBnZjDl6JTTQ3Z4hKkFCjWWV1/WZQJE5NKozNFMrgvUXijQdPZtIN29CUbh92DuQ7DcX8N8IeNCSZw2WQ9dzwtGPfg0KSreUPN6aPc3hOVRDIkviAuSnGwRPDrA426ks/I6UxeH54CWed2GtFATWwXFAEiQCw+ZlRgGI8IFynmXh6bjM81vwB17rEkUrJkwQ9JQnMl8OVd7FdhyJyk4lxl/8NEJsol91/pCo8yxvc7rqKKhTmj/ApESr5HnI52MmLnctKXHPDqMjLtdpwv6i20Tpp0GDvsPpN6mcTLtngVTFHDKMA/zRHNGfxNjTUajcLX2m40Sf/X8Hlo6SbAn8jXDGQ6xxnkxgdrKU2WuS5+ERHiVUUT966whPH3ZiDfSxLqYFWUK5MI9ol6rH4Y8yY1Vb05PaDom4rVSmCV6kz4dKyrqZEaFEu/sDWExnOS6I5GanAOs1EdVMkvydYuZv5wmxgEHVqUFd8wbpw+gxO/Tu/FxTRSSo/j0J0Nay5+HT9hmjyu3h8oclfH2HZRH/DKGhwSiTwzohO8mw1PMt+LxUZHUVvLvRQoKLl8V6wF7qp2D3QIHWH7KEp3LvKd3Lq0cUFtIsbFKzs9xBRGiTbVRMGdL8YO78ENmw+Zpf3U8lTGoeqpqYg1kT8qOsrBl+3E6UoDQ8dtrC8p1FViHclRN0K4PuhsZPWy0oaQWBpeDYQWSRN81vx8PVi+STVNQ80SUbh6KC6vDcYe3ptm9DYPH2QmWedTlX1Opb/kF7rHlZegJlUbxlzP+U9t9xMJM/+KROIdMe18u3jAmCLwpjbmdxRDw5BLYv9yyy9FuqHqt2okphxU+7FKPDfuIr+90Ez33lPgmKdo5hZicT1p3vIIkNQ3L833+FN0W75carOZf8JGmeDH8i9y4b5TYIOSI/WOSrwrfyZlK8L8sxcNX0I4NtS9BzPxx6SWXyZ+HtzUX3M4dOosz3ZpJAfNGf4YND+kAe02jIUrKiz+N9rDnJuI1LZRLpQbAdlnPr2XaikzCZ1/1fOkdjYIAZQKBO3T223xWzz57RGNJcHjPJUYrYLF6PJdaCseF3LVtbLKbdXxVkAba5d/oNJfelvC+EBJvu0P+8T64vD19KHiRiAyFbC9CQIfn6B5COidZDy+CkRcAAADAAADAAADAAADAAAe0AAAAilBn5NFFSwv/wAAAwAA4sRaAQAAB5jpCQTMACE4Ikfvha7or5otNxAuA4UhzqVZ9wULtWbG+VQkhxrwRcw4OwybvppFLDGm2QEvwAq9wzr7lSRQ/rAZLKCOkrTxNOlgc/YF8OhxFHnAK4nahErwJJ/+m7BjXb48b9NxLdbtpx790/fWzpQlh9X7N2tjlRbtEv7ZfpnZRtUgJsi9No4oROdQmfVe4/CSpWJiAneKNyESvHgE4d1ovROXY3B9dDvrsDaqvxGb2F3SPfFfe1nbVNstG2Mdnfda+k4FDnRBpC3r0WtEy5o5iMrNZ68PB+4Czk1ch+Xw5M8ViHDg0gCOwxJxP6WNooitorlhMNrdNAOThLoWUelkxDMm/QSORbzgtcf7Uu6hM96qHT1hldnXKcWhzTx76YdvNgMjKB5hn69Er/th2yuYSlWfMa3O0Vj2nFydqw6U/3b44oFdCS7a/F+0x1xz8NJ+O+ECsqKsKtrMFyLfUBpd4WXz9xXWSBrz0oGFC1hHrmKGCxGCh5mWkcWJmEEsSdS4Mn6A2FjMyE02EFgq2GuybWaSlZQsQqQ96UxxCagDg/xaeQzkiGk0AmfkZEyIDe5OrO9+Dmp8parzDqNbAvlCV7g92Rel6KAWG3Hb4Rw8ca8o6crcDfIFFCrYn+UPVYQ4G2lYlPw0ui6xB/t9+txgIMzxcFtbvg3wXvudp+BxL/ABrU4AAAMACn5IoAAAtGyAAAPWAAABeQGftGpCvwAAAwAAAwAAAwAB0ACsao3UOTdJoXSyzsTdFxjjJdAV2KFDtJf8G18nNkXRWhAL70GXbaTnzcA0yeAWQP8VcwM6hfgAFzE9nufHiHLKuDm9nfMAoltmGmz33VsNM3l+5nOPOdefX5N81XIOurLgUZNFBJjICu2ZkW4hZPyzrWxUhoctPp8BajMsO2Gxk7QjzMt1CnWbqbuuanQfBi4wdh6lOiFWF5mVi5q0Seyb6nXqTGCUV2SMcUCO2JucJO2VHAj+nyB4KYJFU5G/KZeStuSvrPpKX9gJI+PXQFDNAKsY9Fk6ibN6YMCL2MhVoLCEmJIcP1HXuBd74pyevSrwtNe1fmgljFTmV8ObkEYRnAGwbL/WPdN6oXqcXs7bUBBxISDtML29ZqvHSpqXmWpkE+Kbvj9Jy39I3XLaiUlR13Bov22qdvlKg97fae289yTig38J5EtiNxofDTRczDoOVpEhnIEAAAMBZuz7gAAPY4AAAO6BAAACg0GbtkmoQWyZTAh///6plgAAAwAAAwAAAwAOT0UztA3MdCad38JPWID2YFXC3jtis6NPlBldvosphTtkgR8lgBRonxX2+F0oXoVHlXBjSJCg38acHhc6nmN/9cnveDEsA1M/yyFtUY+0T8DgAmNUvMW8fw+e68RG6ueiF66iGoX3c+vwKYa710W/u4B5083vm5X4bUgb2YeyHqy4cDpd/olJSIMxghDB4boVhwu9ROA9ycCKS4MDUhgX/9hNVR2nYbeBRbAR7Eoirlf1T3/mU3GhLL8hgGprqNx4CRm+TUdK+tzavQj03xFgZZpBM4kemz77TCL8yrAoFHybJSnfzg7uvuocAkdnqe2zn/W/riG3KGRHBI1VdCpEVDyXUe+j09LoAZ3F0V2Iq9Ld1zudXv0cPR0HmcDImIu40cXbG7/miIVcv+OwRGaIm3zDA7+ACwia6lK7xVWCf+42cArx8B1nMV8hqe37GG5sSyngrtDQG0q2BkI7zxtJrBRC4xpMKbUXTEX70cAhbVo29Rj9vXm9y9+IgyFD/fIYjvRJhc7u4YVAbiV4nM3A66DvCajM7WxKM1t4igsqXrIdgQrp9fzPK+ipddDAaAGyHIv52BdAOAHZGMlCC/uqMtIuGpVhmksDczUlaofQERkWa/EX7Fq05Qk+fACZTitwv5KDjmU4viLjaphRDEazleBsxk7MXkTyICKVVeheVH9vLglDf/HZIxdROXo7YbGhTSsrXRfeclAMga+BNmnybtMJtOXRM/ci7KPA7fmOa88ZmgVf+YLsgC/8zNXArFvww1qOBt4UVOPbQCl1dfCJ00OzNcWKF5hJv3g5mAAAAwAAAwAAAwAAM+AAAAS4QZvaSeEKUmUwId/+qZYAAAMAAAMAAAMAGWzn/4YTXQAfnF9VK4V1ostsYALaIO5bohFA7l4pzswLme65ygOiokRrpzZO+R/CywkNDMnrrZ0dnCQfhwxtwaR3ZC6i5+GLqt3Fnf1/VGZg4mXEbvHkgUZqXlt3caUDDpbNVPN99ax6MsQr2NyTjZEeMcgsOyB/o6jEW9J2Yx8b62RFofdAT+vGp+6IOMzM77mfoIInSkewPqHYNv6gnTSKFLlvI+rkh2nTMEIJQZ9SnMHdKQhx6OZmB4p59KScNG87jNaJT7iKUaPliiTF26QZpp/7zOXnfyeUWPSz7LJ7HGkEAAR6IpUMSGP8ieGQ512AEapAWn10TWBPebHx/p4HXxSzskXno4Euv639Ddmt8K1IRJXxgfW0Ymq0fUU7i7Ud3aZ8W0nCUheLlzvf6RC1l1/i2YFOFhsyG+nh6Agc5FGMWiZLG2dAAyc+7MQ6R91m3Hqti0LtQKpEUr0agVtqAAiPWyDa1ZZwjDelnocKoPf33y8v8gZdCkeybLt0l9q7uAP6oesIDydosF6CTtzLt4Xg+uW8JXJwNlwFjJYSSLvajToPb6MVTNDUVdjext6LjBNg4rKBxUuDzVNln8XzbB5r/gKEZHATz1TAY2pxoThk1kYZmP3xp0Mo1c1mlAXjSZCM7rSvL3JetfYLQAAXS4sscBkvyYmn90iZXIxHwXvCQRLa8cujzgIsXmwwWhb6QTBjFf/OB8h+RApSVdM9YqhN/KaLOkcnv1oF0aU3YxzH5m7M3a/c1Jm7aBtWD1X1GPhetfHvuGcB6tj2EhEEXvW967Q+QXxfZSz0SC4UxoE1gv/Mza2zERk7VwGRGrN+NIy4Wnesbt+NfJ8I1MKGJWdqGy6Jv5zbtJgzX+mE1sz2zcigKnFGNNpb3xR+YWEDJjIGngT964NU82lVDDANv4TItRdIyeeHI1nzM1WZWuiVvqIGLkCreqyNgq2FphV800awupkq8OPBeqRyO7fNJOPJzBgFj6LnIxQQ+oklD7L6HlNpBfxaSCFXoLepXNvw3RSu/eWe9ikfqZiEuUVsUwch1A7JK9CGAq/CetBhhAhwLXEmHMwmAkxLs0Aco6+Y0bta7IokQ2IHVPQUxVB/c3hiB+jut6BWfoxV5MzLIiXnHKz5tTysh2dm2prdBrjyxgXeeOl+eSFfZ8XWsmPd1cabRngR0qcIuXsg92hIuunyzas89qm4O9b6pbj3Z/l592l5x+M28wFl2Isi0ZGD+cO/QxzQUT+qyF9+YzWTetwTzjI2gag5PWf52//n8mfhCfwbi9g4k3LQ/bXUlBnORJn736PkkIkdvSWUnPGtFQ2QhgsiB8c5RgHnd7riMqydmSiTJ8ivLCSpJnmVGL7e/dUCsLnvpmnxzE6BxqpTgtFoCUdTbRr7RIQdVePyubMGvqfkq538nMbhfqg1701n1oL7msmtVmmE8ab7l4jgVhJsgTjyE55Gs4lWc69/pHT5FMVTno/+fiR1Tc/ZL36NvDvX8nydTBg5P/CZOSBd+kbsXR5P9BnOTYmk9XW4Mf/AX2Abt4JP25Z7PZUQTZq2YoAAAAMAAAMAAAMABs0AAAGaQZ/4RTRMM/8AAAMAAKhK2HMAAEVuLOT4AW8e1uXGDxB/YKjfcPUA/JmVX5zmuOix5Ts2VBLD8Frs44F6wS7GsMIKHSLeXomnV7/MbTf0ME/Gz+cUWdIxEuU5vVQ2kJADac093FOtuh64toBpmudBeBjATrayUuuwWhUJUiVyN4ohk/MDAGKC/zjGolCoJhCjIOD9Vkn5qM3W/c+WW1qoeY5ukXTNhhHwbpVoJQdyLv9Xmr5fBNhV+PhZwxxTUiO3CH3bcZGeCMf2LeFtv+i7Fxx+503Nrp9rkVvtCscmxDMysOND119D2quY9Vmr4bBC4AAB1CqfpvU5l7EZOiNHPMzW58ybNc1oXLSKyNdyNDRC/Z5vaKXGfaZiNqRyZ4DneO3s+Vko9sQjnxEBXD62ICErgD/fxMwdnUWy9IAFoOKP9fnz8COPLAyomGf2AevENotyEDZjyshFbhVgwH2z19wY9G2dlXbJkfMBR8bFI9j6CULEqPj7Ac7iSzgoEjRgJpd6YExRwuBVukAAAAMBEgIAAAkQ0AAAKSEAAAEkAZ4XdEK/AAADAAADAAADACfZDJH4TQ8DbaAFtJFOQqhxvrEee6ljAUGGyynUaItG+8l+ncCtBZbC1ue0qua/aVp6+0HEMABC9SHMt+jEC96epV9BJHq8b/iOtocVnm/rBxxJfI+YE/djYlLENkG72FDcwlnY/0Qv8/scRvQrNSqpyWsdDLBrzTaUJXMzolzynfj5IoNnjnhpN9ag+cikV/TTXdMLFQf5w9NP8Qhsq0T1SF5Bxf/QvIvBK1gOswRvDUlbi/1lxIq/9AMCHoTIFRxhKSDvKCL6ZbYjElq03r+RPRjq1PipM9s4YD/UbBlFZ9v2LZ2q9yJp7dLgtY505CyknmUvv+t+gUxIyKofuwTW7soU98AAAAMAAAMAAWFIAAANGAAAAMUBnhlqQr8AAAMAAAMAAAMAKOqd+F+ijwEBkAHNDVzyvAcDZ+zvxKbW8y0ovJxkqT26gV3DgJnm6yiJ0sP3+uQtCkFBv0y40nhJ4CT7GxOJ4dY4wjrsjlltCd3iPE5T7tbJOIgP1k+cdt7rjfg7N0IiSQ4jNqhMWJ+e0syf9fPehZ0J+S7kVuzwxq1eOZyQVLB1eHIJECAkTNNlzc82wx7Lbsk3r9sDPNeKpj+a3PRB9a4FxxdgqMoAAAMAAAMAABm9wAABewAAA+JBmh1JqEFomUwId//+qZYAAAMAAAMAAAMAGqzn/4PviAG7IYlcgXsMaanDIuEPMlOLbBEul5Vz2uPqhft4wUXrhG4JLb90QkhyNrJo3FRk1LHsSOdV18qJUY7mwZrobJDwr+Vusnb87GHH0OncyUws8XgIw1Nl/GAuMwz8UA5aD5s4Z0e1p6kUVRWgUnxFJnwJGWM1SQFpy10OzXKp6zfl5k1ZnQBVYETrtaekEPcNjXyuZ/j20Y7UYesXdsE1hoEH9Qwn3U6ZjlekpFJliAdyrjiatc/442u38wFRzzH54yxgh7YzNe1y9S6GRGAf2744mNRPeEnknQ+79JzdYKPDBKNQQsqOJdNRmoJjC6QVG/YN+zHOQMPqwZk5bETdF7A9YLnDouBQ4m899xYoI70HFmnSdciSfTlpKLxbfUHC97cQNPXVgG4Nja56MpetVj/XF+2u1q7lC5x7XwHiwY1rtzxhrx8QmT0wkH26xpTlj45xRlH3lmzUVxTo3jIcGU9HQvei8jkd6wYb0qjit0vd7Vo1kqxUL8PGoN/7ZjsS7rD4ABtgHZDAjfDVTdmuhCHWX+eI2VMqje7DeRVfDzUur6fvOB9rvQ6UeRSL9I0xOV+inqUbn0VXSweSNPWByBZrnSCNAOyo4svNTAqWivpkMCwj6hGm+Y7Y3E9w1dBMZfUF722xVckMiQ3BcAJqz/Jdyr/NrBcihhMm6wj/kDYXp36WR6mR++C1q9T+6uqwgnwcLiIxJHtHeNBpZUjcpo5NyFx5vjkaU9jHOHkshmruJ/2osNEkP2/Lf7syTb9txk/y3JsT+ZSfLS2u2Wzr1X96AJJJanC/kwgWnD2qonuTG+5lTaI6B8sb9Rtrq3gu89j2TZBn/9PsT8eoK9nL2tZ6aAn73+2YMXTZtoug2Z0GISRVgmTMnm8UUrD8+hnbfLJe+hnW7K5ogYKC3VHWaMQu1rg0WM19BTuBd9x+AJqTFUyp6xLaFGgiyDGf59uOTf3ZSeiuEqO2QIHPwXZ5NxSRWVJEwr3/dC9niaOhUaRNq2dot3QuMObdcdVOyd9G0GwxtvYwEPRRITunNAJQxODmJf7gU71N3e2H13alpwV+sQtuwPGJW94Oj9Mu8d3UFW4p7orivHM5gBvMJ4PjzJSTuOKRYgqYdaiu5aOmiVrf2yHJmrAY7FCzUzs2iy5Nf2Tz2YlJbczqOb+aSCIhceV6OGCxkM5CGh4MRRw91fvrc9NYK6UQZ2LFTeBbjiBe7Bf3ux/qnf4I9DnwSrFkgNsbgWOCEscJhmH9XSY/lPenERNqmiAAAAMAAAMAAAMAAAXcAAABdkGeO0URLC//AAADAADixFoBAAC1ymi4/1/nUw3gA5o0K0We3h6V8G6bLe2rA6qdDa+KQL7g0ekliupW2xPjieVEIxphOA47Wfw31TDezNHCR995GpZP2XbHTkDnrcrXS1d9M5EZXThPr2pDUQ7Ogn4hXzkpWli4zJAJ4i41GbxyFl8eZjaIWunaZTCK0eP+2RHo1K1nwtursFjs5RwT0DAAAFDZ77eTeTOIaeL1d63lYMlUirogsyOiobwUsfG3YMtSVtVe7maJSQhJw9LVN70EVy229tnN1ttgLUss3ZXDaTpMZMyMdKXURBb/dvPK2WND3zoexWE2dhk9B0SaEwp41AG7ERBhd+kLAnTkblciKoe/lNGjlu5QRfYCHmg5fZa8gJiTFfNGNd8BclsL457G/ICvkANZ5ZNiW+eHv+qWuONYRY8tqFw2jl1Y52zo0iaxxpu+ahaBKjbBPma78Buys+ATyIAAAAMBg2qoAAAkysAAAD/BAAAA9AGeXGpCvwAAAwAAAwAAAwArNa4V/XAvPV3R6N2eLETBdHmycPk/EL1mwB8QAcSpb3HPlTUn8TrAwNkTi6NufblL2kQoyEm6K2XwnDV9vhuuS0VlzQuaa2Wh8vKh9k1+ul6KuyDHrB07HxfMQAAACjE76dpV4/Jrl8DOOJYGIpE2eI3IidsLajJv8FYZ6/53+/wC6A7KJwrQCXdFPf7AwgiW18W15KxfY4SDs9y3vepx1aol579bCXrowNppKJLgYsSdJ7xnnL9V0FzhpTfq/5ymIceJo/clGVTQzDIMSkgYfsYAAAMAADIyloAAAhIAAAMALSEAAAQWQZpBSahBbJlMCHf//qmWAAADAAADAAADABsluv6EJ+ubZGACIIy8c+dAKehq49KDVyl+teRAM/ScI6qoA+g2i7Al4mEIdwxGCLgawHDjrFqdxHItVsqTV+3SsxpL/ImEXyy0EIu1X6fAOYtKWmZ9ijst/bbs7uxBfRRAMkJ6kSoLamjUEX3S13nx+vFyr/v8cz4NDTH6IQJgt547wYpiYlFMFWYRP0wAH5UVx9lnGByo5meVW/DuBHtob7euFqE0u0o98TuHxEKEnnwbbaYGHDF1KK70PekKt8FEZMGuoFaSzxIIewOjBwgjhDcLSvfUBodup7KE1GrAyzWK5Dl/KRY/GrfB4bt3+rEkatRAJ+vQX05Fw51vYVJWbUcS/X3L80sbCp0D61bIhoR+KgdxefSBFkxn4u31tEg+U0fX+M74xsSLDieDRBZqpXas0s0YCCu4LOFxSXm7I2JPH/brjBpLK9ZaQcmTvrj4lQamWeMg31XaS34XDJFJyUP7lOQaZlAKJNgxdyxeh44rKyZ52aiK4m09udJSTHkZ3g6lLxv183tXFKMSuS6BXA5ZcKchqRSA9JHv1jWvULF7hfBAepFYcf3Tl6vI4TamZoJ17Ybwpw4SweKRDVHMMIbn/qyeQl7UtQuXRAsYAK5Sr7sXp61mq6FJW0yj7jop8PLXqnkq06bv819FL51AE9zse7NgvF626ZrepAZH6lNkENsneXF6GHBe3bwuvoUytQynF4LoKXjCNkNOwKJpvWzjhxOjU8zExc/qLF4xCajdsK6RmhAKmqaaKzbSZKGpitsuWtlEY4qLJVeZb8bY2qkuHAQhvTAyiUx0ZygLSnG+HBrTAB1ku1Fceo/fC62hEtgoDLFGqjHxG9Jn72YBm0hftErkbKAidGi5asf4j2tHQIwX4mFjtymuP5Mifb//4y9eHIYndS4Pla0yxRF0dRqMI8ez2XX+6PON27NFT1Yz6QL4CXuOogIzKocOpaxZXxvHEIw/NQQDG9JoKFW9CwyHsLRG+/UU2cfv4z/dCwveGI1HVO/Dk1NLsJOGhWJOC4JB9aP9UOqyI6UJbAidZgUqnD1eNBmLCh6hSA7hjRQTueq1LFkbvdh4pZlHtSttx/r9gRK7IsIvpT3ltjySN9hW7bORi5+XrVXj3rzGUrGggmK1AKCSLpLbivwoSeQprzop1IHrf7uf7Bsfw/k/HdPMlJUnT4TaF9Pou+MXaGW/PefPUb8n/gEiNyk1BCkImTrxvQreFFz6nPEv2bcHyeeTV7be2QolXll2us6UabeZbzYtDmIrBNe6khpmYC8oZ+RiR61qFncs+neadlkuSo2ksf2TfEHQ7HiCfvquOXToGd4TRAdgsmK7vcbl11mZrFk99d0mcYOpbmwAAAHAQZ5/RRUsM/8AAAMAAKhTT3IAAJbeZUAG1HqmHW3H/YZ5zAJqPGDMC2co9IoIZdmSumszCvS1bpBNcgxFl8dt7NBVvMvIPz8bBB/wMR3Bxxv++jAOREQRy4MjYqEIsAlYPfXGwDCyv79kVasKaBPhh3em7bvA5DgwP/w4J96y/DWJCNgyeyARp6IcID65/2BRh2XUur7wVSfZ0RHxhu5Ns+YsOA0q1vsQME7hPdrY6NY6eLcykHASi3lTgiiXEJCyZQNQQBs4g8t+H46RnuBW7HxhqWb72uewd2IF5pansplTLAa9mpAv1+lhbh+auDgALXQl+X9rmYOtywdw9f9T8F+KUe+A6ZQ79KMd7wXtQMLrSNagxUcyoJakRtcXr5E/zqlNZDjgl50+zpx+7VPMenLtU91U06E+lcIQ/pu+29bwC/CEfQFbD4ZuPJo39xxyLffLLNauTYJ2MrLlnexURyvISazwKMi6v1z1UJfvLqAHDnsEp0r0xkvcFK/MhTiKOpwyw1iLjFEjMIfdLboY9EoV6u44QrmUGI7VvfwnxuXx2+hJmsytwJhgF/LP2AAAAwAAFCLwAABKiAAAAwCbgAAAAOsBnp50Qr8AAAMAAAMAAAMALFjXG6nx5fjZHwxFIIc1kzkNeYFCbsG4nMSoSmPlGTpi5ljY7w65sZ4/n1gA/0avoKbj2yr+Sc+RgD6wsOcjFxHPdIXJ3vjjKxae9MJVPivjdKosBKyUWAhxYXaV8TFhqAVvEW5zCJmpGOtQIpjt/NYFwNVCpZM/jEXqVeaRetm9g5aLo3BW9Pgdju5CUEuWghcAyvQLZ7M7S+gLWh6DPsLA+ElxkDCxc1SfXI8ipnmGBOVSZ6uJf/xMFRJ6ZIlmeJkKPP4MhXAAAAMAAAMCdPC4AAAdCAAAAwGzAAAA5AGegGpCvwAAAwAAAwAAAwAsVJDUHE+jPvyUwdLB1cXn3jdq3b7uIl8De4eJiK/9CoSCcfXQhVqAzUIIDEXABLJVHBM1m3dIitr0haIDEYUXd1eIzd0hEvfvJpH7Q3v35NcG+QQ57bGhOzCfjoEGBQsX3Sg1zXkXeRZ/IQjZNoH4kvyEVkMGyguQ9oU81WTIJU7ppQf86g0ZIwJ8quxq/K4oJmpHby0keWNd1pdGmrfBPQCLCJspPZr5c1qUcVm6rC4caPD/+3n5zozCTkRyAggkIuAAAAMAAVXm4YAAC95gAACPgAAAAxxBmoRJqEFsmUwIb//+p4QAAAMAAAMAAAMAOIQCQAWH3frzvjbro6PHWG8GluM5FzQOjArZxd8OXPPEggP9r90rFu1bHjkBdQ0YHUrFU5LAvc+nkxvK3kREHZX+WZtokoW47bNvCzdpBLlg2nR+C64BsZpy6FBB6zjRcrbGMSilI/gpzn+vUm7IrSKw48gFaFcTVWDST2hX89SHgtEDwRWdibiBCCC1kf2jx/FBY+20rxwP7cGsXr4f5VGhR/DhiHRxh01NCbVrlInHzzgV1orf+joS9LMoD/pl2F3GSqIEyU+2ENvHpKKEqrZ4BRbOufz4P03O+wiXIWnW8mh33kr0iGinSy6BYJcUdzKsrHILa8V7M4R6D164Rr6hrqMnwCCCGoXx8e6jd3vaEx1yqniD1k4MefvgffcrMawpvZQHbFqexTus0T7k5dvG+kFPy7K8C2Bu5Iv9clD5RDjnAAtUQknLhuK89GeRs8nnAN5gyVQ2r4rD8XxwaypTPY4YaF2sqVW18aTwhk2fIMf2Es+IYrMUKKXABtnf5mUCvPPQCDn/u17MxLcgoarECz/ntrIqHE9jjHC+6Tx819FNgNSyq6QwHMFBASFv/GpaPbqiMMVj7To13H3Ay1Oe37NzScUN06mLzy2MVY5LyRV/7WryxwbK6oa4h5L/gOt64gsVgJH2Z5Fsx80j66nJyD62FBiJ6CJc+Db6mavxT/X7mfeYuiMjVkS5sDd6W3WrFaiiE1sR3YKB8EH+WeI/XGC1YjpXYkKCdWRtgl68wwtE0ocBMOJQYn1XcDWmqVU3Zvbojq0nH25gA5pDCbYV0UCJPN3TjcgeARsYyqQbrx7PPHjZJ3oUa46/IcJey2L1Sp8lcrUVX6rycNql6cejYNMbuGJL2ZBlBod2W8JYdFpUKuaoUpnrZh6pyXYZvXGFXm5Hpx9FvTvsVAfRXjF+rnNv2cDMctoVwYOn5+31XbL4SI4+QXt8v573toF20fQMdDWxUjWRdINkBx8Oa/lQccHWW5/YKDoUbFro8ZokiR4AAAMAAAMAAAMAAAMAAAbVAAABL0GeokUVLC//AAADAADixFoBAADEJCymXi53oHViwAQ2X6OEPUF7zqKqnbt1cQ09IBbk3hfx9Ia+MnM1sWdbDDubuCDhQyZwBHoNDVyHzUhaShXZbdthLUsJEeKyhQKW6R/upo+pdxbV7c1WhkM2M1q3zkFeeH7g8liyS01GQQ/VW1SuIXbMQ6JnQ1WBM9PM/ztRrchTDotktp3wn9dW7KP/v92QBPu/WVV8EUbY9u/BlaNIQ1fiY6GBtFtlgd1uDTWPsx3ojo+QXMRkQdSVVuwiavPmla+uSn3x35mRjapZ+CfqJTIVhbv4oMI+T99sgo1kS/HiYgt0PBrq/WGrGujfC3HU3NrVasnlEFsJIQ3YspakASPuPxC78CmE48AAAAMAAHDms4AABmSgAAAP8AAAAOgBnsNqQr8AAAMAAAMAAAMALpXVU1mvUZ6TyTJPGatlxvpQAckiFP/Qn+1u/2hMfNdr2CpdUoh2Z/BpRYFrfZgM3q6JDpMhv1RoXo7wfJkVKsQ0ATJIz1L0AspeVDcoCqvvw2HwXY0FqVpXvqXvRqBeR+NubamzcWS9Z2544nuBHO7+3ZifWiNdrzVugMXpSL3goPZc0oiyk/VV+UEL9NMLXaXG8tOdp7PYznNuDLsBzcfs8kdZrOrz6kaWkE66HLajSsXKQIJVR2tTAxIH8IrA8mLnOvVpKAAAAwAGmjvzgAAe5AAAAwFtAAAB7EGaxUmoQWyZTAhv//6nhAAAAwAAAwAAAwA6Oaf+C82KurbDtD/gBSakboXPAJiGqMyVDi1aO5/gHkn6bgWIKjl44+SSwwMrzPPjnQdADEGj+TMm4NsX6NOcPCIcKItAW0a5rWdYfwrt1T0cOy/8Xk3+r6+4Za4hx1U1d0RyZoTNwuJaWu1/NTkegDKFqIQrhviDoyIfoiUf8R/Rj8pIpsCHh4tiFgO3Ufgx+Xqj9FSg8HucXHeX8xzIaaVnuzq2+6kaAnVMf6I4MmX3XtaUYM/eAt0s2f36e76qREfx9BudXlcHy831KRCuEadip06iYkG1rXzZzc7U8EtQksEBInj2AgMgid2C/rdfb0py2/tVf+iPmIBslBKo99psCAKdxLcrrvb7WWq+RO+bm8/rZIYlycYC0sfGzjq/S8H5lX1VFB3b+NfVHiVszJoOz4IqHshubssoTqqYSM0ypfNqH4bjDW6YwbklLRdJK2LVNy3WV6TXGVP+vPbAZfGYOHVXKWCoy8TezqNO6MQdlk14bVwErf6ep6fU8RqGGMfOzP7wMQ9LxzHtsZQ4WnMmcwSmJIwH1zEFnmJvy82NFrMyAQukXDIcccIHd7oBB1nuq8DZKyAYFiuNjHdIo3NYAAADAAADAAADAAADAAB4QQAAAkpBmudJ4QpSZTBRUsN//qeEAAADAAADAAADADod8tfxABGVmoyUC2fOzb7TTn251nbKh6m5qTfrlqsSyKy/O9zN/ZWU5A6uFQmdetEhYHSt5gkONEXLTnnJOoHKjty35fvF94kdsTg6OfG9V2EMsnmI9cG2BL7cHuWzLR7Ouz01B53pgxQW2FuK3XaDPyTifrJQG+IJ+C0WlpiIHrD5NWWQdnCWh8JuM+ccAaZtKz58T5m6V7eYReZfWK981hdV7eVeIBB/39SrdnxsoDay0w79QXnifKmeOALw1x0SNzvmTnpnjg3FSCVJ9LzJ/9LVvPzWB0PirgHJdpc7vrbI8ZfZfcWchQ/EA0kp/kQq4j/nAq9UEx1QAagjPpWpHFNPjNpctuyLnKTQv8mYiXKgrZDcQawFyQagEWo5uc7Do0gTMCxjVnSLQcNaQLBQ9wR0Dy2ldz2JP/OvhMOMZBG9GJnqCUihs6izUzHrgRNtkrYpJA3U0rYmsea1jfDXrmcwSX6bqaJkCm9lUoyUXLs5rzdBT2dToXWpnxR2SW+4gVQ9+Xf5ha4FBqtxvRjH22daT033osRcf2+/1YzkrqGu5cZgrdH1+L0qByJETDm4bdeGFDFUf4LLcULIHh+eOWwZkAQTLGQRBBkaoA9SutoDUc+tpOY6IzL3xPzWAPGIuRax813bQqHIG7VGmEhTpNhOnrdrdDEalmKil1uv8byPOws33ZPcbwTcAEO1vbovEhxKKiMt7/gAAAMAAFqBT4JfEbRhAAADAAADALaBAAAArwGfBmpCvwAAAwAAAwAAAwAvznwtEqtSrEDIAQmpiwA96brGSg33jT8ltQqLzcW7t6T40DOp0oJngR7h9ap+4mDbXHXFBJQVZfItBDsXN7YnH8Ga+N6kU6n6+K45RqhYTV5DOrv8hbj6wkaOKKsH7jS6ygb/jIfs6qPNudwvmvD3/wHzT5GGVJS1DK+i33ttjPov/XnSoWf9r5A6CJsL4AAAAwAAAwAAAwAAAwAAHLEAAAGLQZsISeEOiZTAh3/+qZYAAAMAAAMAAAMAHdWG6+nWxLgA/mRm2IQd21y9fhelLzLeZIVGxc06MPARSDEXCRz+B8VJMBgG40LpWODrtZWahBCD8OvFyYomjYbp1GlNdkV1l1IfdKmaZ44vjl6m0fTbTvMAUQ45kmscTbF9d644/mCC3M4JgzHyly1UvrL7eDK7TDVrDgzWhn5zv8qWcndHTn7N0W/OGinaEusFQ+B5INM6TVKnQEYIZp/Vp11KXP3aI9TUu5UEx2J7UphgmaJFLHWMKo+TCfZtsUyYb+Vg0wjQszk5RAYL3CaUFwQN1MevWiaFQLsf+slD8Qm8CdlkulBbvzmXMkhvquw9bfQwgz75OO2146lyzR/N7RxQfRFJxZfIxHG58oes6rda0V+frr1j9Kp4V6gmC+Bzp8IWmliy5m+CqLqs2Ao6jMc9u7eVwLqbx4IsB6cQ9A84nLwjX9FrfCRDMlXg1yPe/geDe2C1VNIH4I+zHStQeAAAAwAAAwAAAwAAAwAAWUAAAAKUQZssSeEPJlMCGf/+nhAAAAMAAAMAAAMA7nPISL4C+pPzaf4LpnjEe8ljR9jJXW4P3cS8zqu728JSSpzJa8tK1Dw7p9tjB/XVguUVB4HPubzhccYcrrVuaLiKJ6oA8b3YhCrhfhLf3ym1dMkoqX+Z27JIQJlTiUJ8eEwnsAiFL1zgzahehUA7VG721EzNkyjlGiDZ7twDke3wHqHMl7/HXWQybP66nHqcjKyO6erQFWCAdpSMWPmbkSUoBHbUO/8bjmorS7a84iXPEJd3hPJ5I79tdEk0NVwlmOWdpjIpGIyXxvbnrFYAfl9qgjqadT6bpSOHDmbsOfuafycxhDIBmBUdS1pcxygZNXIZ6sJvrvn2He3lFM8mWYG1j5utRbwMboujw16x0o1sVccFlRGBPhgz2+TFvEP9qvG4tlgz35GT2eZhr+3pic2sOKVy4MaOcX3kCJNLs6IAj+cEX1ru4Lv1y4ifW9UfQCQ0+vxqPZI6qHUOL/OKNhwhIkUCLl8f1B5BQc/ET7/lEMDDXBP9DxaPM/4QjQVZtEDzbe9C9CkWlCksoWzyfKOoa8rxu0+th7IC+4mIk0pNIL6Iv1zGKcnnKOMHfA5sBeWF/RzEtFbUwvp98LffkOsDHa0itfAouiAWf4GJMtOAWF1OwSaO4/QtLOinCRy89CV68WfD2vHsUXdZ1IP1OWNQ4LidhsH+fWOIsKPWFYHdRmPRYQocC7aPLl0ydkRwIR5jatE5LhEe/k8AfLj7bmoqb0D0iU7VFeBLng9blhgsMP3+yRtj3MwQyblZXkPYdPGzMng9rwYtAWIizazIe6os0st+fcdeLFYs/IXnQ16fhJrknmsra4QrYEAAAAMAAAMAAAMAAAMAAHLAAAAA/0GfSkURPDP/AAADAAADAAADABpbaSyhaiacUXbJQAVDU2vpfz7a5fjD/IsNqilQVy/HkFPfGQC/piuJyJWg59vXWl1TRmeGIuJar09cUJNhSg5oyD3WVRteLGO8M8aYzeuAYboxYTtpMLQfePr4HXQSHiy0iuMIMRvw/S4ol3ZsEirH4FzMMwoUVEWhSlrVWtmS/Rd3sIorkzCYrXaxU+Qwted+87kjdRnAJT6HBjfTPnItSPTR9UDvqOMStctflO0TBeivj+4u1p1mIkpXqlaf+zh3mUtktRc9Jww+0v3blL6zirmW1SUO4jBFHcFKAAADAAADAAADAAADAAAZcQAAALYBn2l0Qr8AAAMAAAMAAAMAMRFavcm/2bUczo3r29q0bZaxOVZFABA6GuOjbYZA8nKj95uydliLjs7rPT50Mc78hnCTu4iX0YmENPQ2pGC3C5mVlKde0tY0/Y03hdSYSIJBY1crradQhFAmsh8cekQmXywz0kF/EuyKhTmSGtbaYGoFhd6YTGMsAmEaLf/mtyUbdst44lpab2PURGDn1toOLtIvDq0pAAADAAADAAADAAADAAAQcAAAAJQBn2tqQr8AAAMAAAMAAAMAMPlPYplLn8LCHHUM4+KyzWdOhk3TRyKzn+HtAsyFvmyLPuhgAWmlAEe+OSSCdldmEWCZltRg8Q5+68qCTZJro7u0kAG810jj45BPjaffpVmFI64quI6vtFksMrDh7iGX5VgsEZqTbShz5i307cWhDJT40jAAAAMAAAMAAAMAAAMAAHHAAAACB0GbcEmoQWiZTAhf//6MsAAAAwAAAwAAAwD0BRWAD8Wn2H0tMyq5D7K2lIFLrNQ2ro+k/SG8WhnNX8lhtqhViHSFoUD8egtutH0fC7sB1fu8HVLs6vSMdj5OVhPKD/IpHAV9go6grryP58rEE4G1DdwXClQNUzW3G9NCET8iZwp/yGQbw9RIE3c/wCaT+l/WLtfqbrvEf8sxep68mrb55lYcCeIdVf97M0p3VHjj0oilIsSEDNtzFLB8YSC99MUlh1wUJ8j0ilJ/baJPoqNKCFcrfH8CC2UgVuHQCoaczGB4skeBAmgzvKLnGrIIbbLMPHR8sxEq14Z+AdNjH9wGHstqu7De3a5i5wvdrLMjwL+UQTqZSzqhLYS1vIARNTa1Ggk35Iiau/TyJdvGfgTysre+GOW9QFh4XhdAm1aAIBrUxIkzmfKu/toCDhp3W4t0ae519USEQw0dkZBP87RuWiZbu5fImvBLmvgY/qWsAW2hIaj4tdRca/zSRHFEmH96BR32Ztbqc80arLH+FVjUvfutn8/JdTXBI4ewdvd3i18AuxJyFZsWy0fdb2nTC55ao55BGBNPoFT8cWdPwkSzeB+jwmDExrLi7DvRqCONeoSEdH+ky0PHeeHH2X/YRB14Rcdx2JaAb9LFWTGlu9zO31rDlm5QqkQ7mAAAAwAAAwAAAwAAAwAGLQAAATNBn45FESwz/wAAAwAAAwAAAwAbo0ZDIRJaxwbVBKPin/tCJkdbNANm2tBxulttIkX+tQAXJpGwzC7o9a3CRcdnWtgR96Vkg3LWfWiBMQQmxjcEzeEFnL7HEYdUP+y5x1FKtgpDa2EtkWexVIJMxr+WQiYhBxTREZDFdMWXHLwm4LsjGeSOdfoAD4aXCKu11MRECEUqEz1NGosZuwjBIZOPidCCL+A+72INNqYl9qRFNSJvPDfVUis9pKqmhfqsY3BGgHnppv2olH2El7U+/CPq5scsne0G+1lJaPxtJu/c2ZNQe98dnjv2vOoo7kobzpausCK3RtS+1ifQP/6X+iFITl2qOSGmyR7tNtd0RoH1Tpnf3xnW0JKZr+NLmJfoxSnXXlnAAAADAAADAAADAAADAAGDAAAAmQGfrXRCvwAAAwAAAwAAAwAyTu1QHNnviGT6fTeQKkboTEyK1+xIZNlvkmCBi4Uz9xnUP0mwdw4dcKvlxDdsDOLtoxWBEIwAXGA4nPxDwXAjjtMW3ElEbsgjpa00PpjV8xJ8AM4Ffkla2Pi2ysPFlKzIcVrDVbKSQSeKFCauS3BU1s2QDBk7IlOQAAADAAADAAADAAADAAAJuQAAAJwBn69qQr8AAAMAAAMAAAMAM45rGOGKavIADolQxtMKG5b2UNWeMgE3SlOHA/ROuDFKwmdP3RHzdQ/P3uCI0nUQajIon6Y12on3CLbp4SQvp70Z9CpFF+BluVCkPYeqNFc3zTeSlJqIUzHrsGuC4j8Bxx7iagrHXro7BxEhuXCv98kXKwsJu4T+Qpz9CAAAAwAAAwAAAwAAAwAApIAAAAFiQZuySahBbJlMFEwz//6eEAAAAwAAAwAAAwD5c8h/TWDRJrGUX5GFoS19oAPu12myfV8NhG4fvOq7JYHTsPo5aTqlrKab6LUmpht+Kp7UeTef3whLnJRh4Dh6IcWSPsI8Vw4z5Re7vJuhnMsjfbEVS5Ljcbp9k9X32odw9DZ0xUBdhzBA9MX1dZlzmEb6duBxzBwT+NITgten0YLOPUkDZrNHcCRFmvgdANZxY+FHl7sNvJKMJ8+4q48JORcICNZlgC6WKw9mOP/PDYyF1FwPTdjKr2bJJI4HE6StyF/a1i17Uw+3EqB7X1D5SSLhcvxC/MiMXXJrA2GwSnH+og8312CfXcpRYAkTMKSQDzvYPpAHE2GVfqFMpmo5OJ4AEVBEsYUmVOYznAJUGQqoc3NYZ4hyvEg+vNBbUpxTXmo0X5nqCYzvzv1McuSsF3Mmnn0ntb+AAAADAAADAAADAAADAGLAAAAA9wGf0WpCvwAAAwAAAwAAAwAy1ZRLsMfuyLmLwAF9OvGpxMf/jnQjo+RTfiRNjVdC3IUzQWrvxyIBwsOp0sinooMLW9mf/j08H6SfO51DzLSM9x62pm0x50q4MWcsF90xyc0Lfa9Wt/+KMC597LKMypw/EYpWWybja0uVAdKxqzERBZ5cHNkafmiIdMmf0IYE/DM2u4OviqvTLdrWIYcR6BRnrBIh/G9OM/Pv+oWWh9C8YjhWHRY4DkHu0HrtHzaNgKes2XyQZvfCN0OdYbqLbrQkKsSrgvP1JzI/tpMnNBB/mar+carAAAADAAADAAADAAADAAADAc0AAAFFQZvTSeEKUmUwIX/+jLAAAAMAAAMAAAMA+npwRHq3lCqgibMgALPcROYCM/Ut72/oJe51vwey/+CsgR+g5nWDh9J7vkwyaPsQGvqF9New8ynb/uwVVgXamaODBFFU8NTZrfdMkKFxR2El4wifb3+c9qBGqiHFC60kw+F3oFjpWC+OWhbMR4ntfHl/2KIfDt2GBQrm2v6HSHK1U/6W2jTZIwvpR9eDZON8i3Br3963kg2hLKcmh/pCmuH+8nyCrqezXYVRTFi4F1C8CfkJmLPZmupRR9VNXtH9nJwwI35llrIMbxAAsAEoGhPxXJQS9AdNtVgmOj0VJ1FskGOiHdUeutxsdEF0CGqOeo+umOf1eAAyOUmqVy2XNI7dX4rrR0/zE8MdRP5GSvBr0p9ksooOn+pDjaKyVbPhnfvYOd2jtUMwmwuOgAAAAdtBm/VJ4Q6JlMFNEwz//p4QAAADAAADAAADAQb5+UOm00m0a/qQo5p5gY6Svmll1WyzloKEDjA15ZkpeRdME+z2El1eeAI/BEFUzbS0puqpxOfEqo/NADhK7QzVIMSE8KQseprErgfsE97QJtvsyoVEfa0E7QEZbC6UCJ4BJvt+PnqqFVoO4OqAwo80sYiULFRo4uhxn0hyRBkOpF98mZn2wm0StRhlo5bGplB5KXgTDZdkM5ye64+b+12qcCXDX962MNo3Ts/WqZcCmOZdWwMsTRYXiF3pv9Cw1/YEsLh7ZVJhcqi7Fq+9bbjluP6XAM+vtsTBGmtshC56yhZcQCujYcBfIpKT1y2flBh7J81MSrxWDw+kN0LkuYc8bIgXN51qF4V5YXmwBLS7cyeFX/sBPGkogCCU3bwYyVZ9zaWDVMlFVVibvlkYZjBm/WU2POgaVeU3xP0ZMbolrJ9s58y7hN1TLn2KF2Y6UybuqlTDE0PM12/Rn7eybbQH5GfWHRjUJ2Lq72nK+2+3nyJVXGFof3MBWtNJc5CAQmoZThazUW562izlkf9Cn1cN435y+1Exr7x8Pk8K13alQcO55inRQAAAAwMFIDvw1bRgAAADAmLcFTlnE/AAABAwAAAA6QGeFGpCvwAAAwAAAwAAAwA0sS4aJUyAOsUpHABzQ1a29XtfkRov/+fgtknHsDaZWo/DyfcXtCAjiwDQVqhtffQCQiGRs1UeyPcQiM0PwV8g3D3/rz/nlUobsjTYJHwXmz+j67qHZdeuinREbOklroaFQ98jF9xw3BVQ6Ft7f+5hqsyf/QchhkQQzXKG/z8bBAfH1OzFNivTwoYHW4jb0QZZvGBmO4ToPde3/xdBGO6g+TM/GMLXbagC4c3VyYXNPRSJivFReouSxcR9YahDiEfITDsUnlTDwEAAAAMAAAMAAAMAAAMAAK2BAAABVEGaFknhDyZTAhn//p4QAAADAAADAAADAP52dvHKQAHQfLAyyCxl/BzvO+Op/sVMKbuqOjjWW25zI/oACKghjmeBud2EQYB2c0Ogbnp+XC7v4tmZ+MN3FQuiXSQq4OADIiScgquPSTC+mVsP+TM3mpxrRLBkSLCLmvtJWp+ffFrpTa1M1aIUs+W1L4whmGnjp9+ABXN9qpkCQHXS1kBEu4jzjEDXxdBZhSX7MK3RuhWETXtgtfJexmcUGqVuu2BnApm/ezlbr/Kj/9qcIEo8APCmMLcjxzp2m0T24KsCCuvK5po5zP8E24WxA5BuNyFptcBp2e31iu3yOV6i0jsZkRTQCgAo5AeF/8hmYs+CxG4VYSPzRu1NDN7Iq3uyu0Ap0AzwnA/mpkdQoIa4AkdR0MigbnbMth8xmXIzxx/TevmxX8oEcQAAAwAAAwAAAwAAAwAADqgAAAFEQZo3SeEPJlMCGf/+nhAAAAMAAAMAAAMA/VC9GSOpSyaAEs5NHOaXUppyofMgNTbfzhugwRd3Ioft6TWMYWGXgLPSYkf+iLIrGlrjFTsN/ethneHMT/XnT3cJGqUeOYOnLlHrlDSe5k+LeyJq/G6/BZRGU5bpb5En1C46DgKJAPYnPh1fAeTqXWSVV3J1AeHsQ7dT/fxVMuEZgy0y+qDmaiKXl9kGjgRxGXC1uYTH/SHNbFMCGAz4pgZLbikiIf0ih9ZrNzUG36lx32TPN4aU/9Zm22FryCKrsOss9LgL0tMKOYh9MkdxIb8RJnPKAa0BX1PK0YAG2PiIOe3cTQVGlRSaHY+JZFTdw1xaxaKBVTGdenaW5DAfw9dnLIdHmctnfcddhv9h4FxO5A/LeMhZK0ienTAAAAMAAAMAAAMAAAMAABdxAAABnEGaWEnhDyZTAhX//jhAAAADAAADAAAEFHcUSD7TwKIr8mubo9fT9winbn8Rd/5b91/SaO5pdcWlKmqg2ROYDS10BwqmVv4iqogmuum0BlvpY+vBQYjeFzMUhk6q8rfw5IqWQW5PGelWfD2+bQDsrAyWIA5bSFd6svyrUkaRIh4TQEwWyL7cHuY61gHV+B1OpzeOm2QnWrbqjuBuzGdzj2oJ2UANl1KuGBneJbYsED7yF5Si7GfTiNIYqRud4XRG7KFPWwn+MoU44xKY/oXXgcd2wqdUDl/49bykzWtOGk2UsRoBo+YCysnFg+yoEMb7cKY795mi1uu3bA+GtgzA39cFbc0bWaJ6JrxsdpAbexhFfr+b98ZBiBa9ZZy8NLCdzifFfa5BgycVgs384I4kd8rmqy13Cf2uZ0rpH07Z/OZ8ZxEMwuoYfajkM/65l1maS/DrZePaeFJOswbebJ5pi33lQkWeoVGJ6ln0TkfhD+Hx9H4P24p4MWeOLn+bUdrgLiNSKFpIZH00Rp/eQAAAAwAAAwAAAwAAAwAAu4EAAAFxQZp5SeEPJlMCFf/+OEAAAAMAAAMAAAQz1d5preEC9b0AocEYdWr7IbRIBengDRbwQRlcK3wFMGEP1dDD7o784sa3mw87Ir12lOZr89Gj1Be23G+Po7KqT7yvY1JPClBXeWGzI+L+uVpIhqPaYNsIEi7g//vOXo0uzkDrDBHXk/A6I2DrPst3YZPxAiIb39uUlmjbmnY4cb4OXn36aigMFNq0MWfFWnvweEOopSRKqIBKChQAe9k3ZxJZK7Cy1H9OJO5E+OywSxCd0Qy+Aa1xn2E9lMQ2Sxjx/TB3hLbWLs8cFC49rAifcMwWAxWEKthXMNXNUdxVOY3FRU6Aum4M+LuBt8Sh4KN4OOxZAsIqsCtIvymcfZewx6BLp71pe4yjf/81sqJQyN5ut0qCyuypTXkYiUdPeekf2U65fTRbrYEswxtwKQbuynTYcavlGQWlUEZigh1zF4GBzX/SGMhq+CBQAAADAAADAAADAAADAAf4AAABVEGamknhDyZTAhf//oywAAADAAADAAADAQfJ/2neSq8sAQosuoBpbt/UmE9s9pRSEuqhJwYIZTKFjkPjPXfxHYgv4tEEyFwjHLjYA8pjbIHCPvL05yQLM2TOzDpsvFopvixL0CVwUl1EoZ+YY2HjxFxXtdPsvv1EeYf2nqTDz4IxFubyMLdZvY5BFdoi1FC4Jh0AvBKL/dDh2+r+JgQiWzjf7VaiNakdLsTqQ3GLMBSel3fH8CEaKKNEuZmsCh0Xeru7Fd7mwBY6Bdk9SPE1tSR8pOuCOx5D/64dUZN82LKI6eGt9k+jkwFOLDKRMmnU53O3lZ568oIrsQf/6nyQQzQi4rL/Nasnlowrb1pGGn3kDowbep8BJeE73fjecIF8bsdZzSO9KNfJF6VVfl5ZX7CvzmzUWApRvCgZh9J8ST/GIdJYG1wAAAMAAAMAAAMAAAMAAl8AAAH7QZq8SeEPJlMFETwr//44QAAAAwAAAwAABBPUJVSAIR3QZK51zprQrE2512xcYtgQDfZaFi1GXs1zCvnhV6TrYkmU9N9BY6Yl0orfn3pQBEWI2EYd/RVYrswjnjeFNKCE3abHpLkqSGf9mr6XZwK/XAfGgxlySIjhOZzz50CdSARebajzK/UDv0ryGNjYiTJsWM087IDFMCUrylra+Vq7S2ozqyvOlmWBEPD0vGyx6lwI6tUeet7FModeKJ56wX1cMGzRsp624ZdH5GoIUSZPFuB7ruPBeoQk7ZjerynPHhJ4MKGY6T0Cfa2QoKwpN3b8n/h0pm7Cp1x7uJilDlQvB2iCRQzv8Q2DLNh+Yd4GC+1JehKVwPdJLZkKL9eU709wi0pSnu5FV4aCdKeBySZ0tdNDEYGRFFzF1kNd+QsfUMwrviSJ6axilo4mb6mrt8phOPffyER40yQrK7XajUCFgJr8Fppzi6Jo7m3R8wJEIOKM40YZxTFuSnjyvc7Bv2JFnY1LT9mfMTapy8Af0VhpH7uViARpog/MzRnEtRTrHz9otga0Lr+rn/S/D06/iAd5jjD3H3H5f/1B6iQdFqLRq74xRofAVPEHT7M91zb0bF7r826rlt7gX6i0BAsDYeplbqD7tYqOVpyxaTIKAAADAAADAAADAAADAAIOAAAAnQGe22pCvwAAAwAAAwAAAwA4rIcs8kvczgA5nJ1TSWXlnmwSxPb+HveDwZcb/89Zj/ad2WjeE70zJkLdGLVcogTMRLwbzcB2N2EScMU0oUDLMymkzYTYZMAloKQn0sRsQMm6dK02dgsNI/WvCPQjGIoAIe4v94xF2H0UAuMu/MKq/t4/hfBQx2AQKIaLOQAAAwAAAwAAAwAAAwAAB90AAAF0QZrdSeEPJlMCFf/+OEAAAAMAAAMAAAQWhfp3AAngfdPqtpBWfs/H23BhFDjwDGBYSj4EDUef4TFqFJl5ban0y/9H11IZtjDjH5L+FgEkdVYLVYJR3QmlbBmD3U+DYikgDQHIvH1XXgas2wqkBgB5jwmNNiOW7IeqmLX9yG4OSYAs36pBOaShDq70+QXbSybLKMD9FjWl/MT5qTIHTYYXeKhhIZr/Thkz5jV/q0mc4ExESLLtKkepM1DHqVvZHPD6iMhT1m4jSVE7ShC99LxSrcGF+LB648znEkrp+zP+HzuXLeV2wUvlqsKu7aMGjQPgqCf9vqRNRpAYmYD6IsAW2HAQpMBzGC0+a0NT8iPOHC3AKLQsZllvQAe63zXbE0q9LNPZVtZwQ2RFpw34LQi5qH41WVgxPuixMN464jXRtKXvISgCfsEGCB8CYgSHplul891W7N0J3xSDAIx3Gwg0vWXIToYAAAMAAAMAAAMAAAMAAFbBAAABkkGa/knhDyZTAhX//jhAAAADAAADAAAEEsSxUE+Y6kARIJF9TNc/JhtG7FRlpk5iwRGqWHu0+ZAqvS6b3rnsN2rLWtKb9FcYR5tKwHNBlPxYeJtWXHaqpogrAcRnh9mHQiOL5ojZb4w0n3nYxf/5Z7MKMDHlITIc8TShDKZVQGcTo2p/FT4fVIcAmEH+M/VFGnywvgmbt3O8gPV/+PKlaJiiPEVxsFfIX+tl/zpsPl3i1KAkRFN1rJMsJNLn9TXpZUcOTbCC1BDHlHSmjZYpMvh58NuVfej+f7zebq+Z9NSHGzOf5ojd3qNVtsH0tolU+/de11g0PDAZV9UpsgTBZvNxhziDx0y6cKAAUCUlYMWuGZ4viRGqoEpKE+amkuX864S+mdznQBjcVQnq5/NUzLZ+exPkBLHtRa3Z3QHeysejY96ZUpVlet9OUBmYvL7J9pRYiqkRh5w5/6QKu+SrNbFLTZa4UW9rnB97z2pTtjWocdkSvEwCZDWC9Sehayd1dXjdvgr5Y1BQI6xGCBwstneLBwAAAZtBmx9J4Q8mUwIb//6nhAAAAwAAAwAAAwBHk1giXmd3ACz5uL9FpvciqSBEwxzKeWi1D4lWrjjyctMinmdDbQ4iy8ayqIFG+PpsHMW03APYvHtGqtezUw15qVAPE8OJNmNaSptqpKY0yP3at8HjKNXPBfAqWUvfZy0UqGpq79nc4kDCdGwDwazhBG3j7NixrjokQD7VYVD5Iq0xNhvBvOzPufleA1jHmAZxmbD0O/J1C7TbWC78nzVYkKeR8CIceF9I7dY0zUUohoBRejJj0BgTdpEa3irtOKNHmDoQVzAypSE0iOj/3opGWDLZgkkCPeZClrk54IuLG7qX1PEpv0lbEk3xkFbHzfS+KNV+AluXvgBh0PLMfy96OMTiyeCw2YsKE56+Js6sT2fv/7NcfE03V5hGot5bgJAfcsWx5YGmgDQlvuDabc/SDeJr5Y3ygcsyXVD5pnlhTkT9pKmPdnNNxRyGyFa8VK+SKYzeugafNOgKGE6/bF5mtACj/yVrNiSpHC3HwLRx0VLph7T4YF/v348dIgyhQ7iD8vgAAALgQZsiSeEPJlMCFf/+OEAAAAMAAAMAAARZGQMsvy6OcgCHskwOM8B2KHWYm5yr69zKNi8+m4D7c3pmTlm0uEshdLPOs8wB912CsOmbnEn4Jt+KxwpA4w4lKChwWcDb8eL/lVPPYf6wEDIMPNBeQvKNjm96RLY8xSsKRftNJkxZAqjb+aYk1oEu4Hudii+T+XNhgU0iB9kyqk3zr9Y2ph/h6OXhZjf7MUwji1kVarTMz4R+qcoSZct58eJMTYtdr5t9mCzrJsYfzNFoq2j8sLAeifIPCmzinrgA3TguZeSasl/BfysvRA30pv11w8bbHqg8AMo56gpxn2ZgnGFKV0BVcVTrZlalbPl+NKc3rtpRtgsT0tX2zzNwSsr0UZtvlNjGH/r0tdzJHKYQHyzooZlVEqvD0YgiIZl6YWAkmBBqjBd0otdb75jinxhtokS10ZaisZFTzKuKpH32rtfll4veX90Uz9gNwrU4Bi7kp9+OrbiXxZ4W+lmm3GNgEbIvkbjjpO9AL5AL4sOT5elKo/RzWuAgdzTIjA4vXRdMDN9PURtTyIY8se1vrn8xHeFfPhdJwqd3c/CryGauqAN0crd2dOMokJZ7OYIhYcZ1PY6rCoCKPxrsCHFyzNLfW3pMSy5nNm/w2KoQximBPvf5ze8B3cuAF5M5XnH9ChTFSYFvkVnBPsMV883J8gs5JZ2dEZLQGBHTJdMQb6QU7TWhjOrgV19ZLZom6cz6AiwBdq9F4KGyNoNXloCwILWPvADugAEMByziWexfd48Aa8toUkNduN1n/jqcncvun2bMJkZtftXkQAdiSTa0+9SBZTUxqjdcrvYXR6Sz00roJbVSZF1h0H5YGen1iqwG5xK2WDOtoxSuZ2mCfQq5Ve9YCEi6/ReNKz3dfaDK/1jJ5TQppj2U69XE5J2ynlVaqBdG9Ptnob6cJ4rk2T+y4+Tw1WEX7pToAAADAAADAAADAAADAABdwQAAANpBn0BFETwv/wAAAwAAAwAAAwAsU7/U2fmAA7QW4uNlx2Q4UNiKJ2QfO63Kq7WO09kRHQkh0fAKt0+LWb5vmsvxu30Nv71myV4D2AllsXftqpitYm2JAn1qrmwshDtz3JiLBQfBKt0vNX9i0VfFFWdoXiBBqK67VH56DoEiCRueIVTJwqhU+5Ruv3zjCdDya2yxduaud8+whYdiGxEOYBTF3kAnq8bsuXrrX+wzssEFxunta3JmMFYL4b/B7BRN/XxgqTusN/cX/jv8AAADAAADAAADAAADAAAHzAAAAL4Bn2FqQr8AAAMAAAMAAAMAO2yHLTMR9DDXvn5qAIM6V+G29MV3P+eoPvMI7g5HKQWpIi2mJom2zYTn65mSk/38psERxyzwaDFxTWA81aObMdHOiUYwci52KQHeDaWhNGfAjsaUozP1cRvvgZadhqrU1gxNKSJ+rjPyI2lKznl9R8AqeeF1KuHr1mRjiDB692xtouWb0adwZb7gl3cAiXeqsLbSgucsV8TNWbuq8zGAAAADAAADAAADAAADAIWBAAACBUGbY0moQWiZTAhf//6MsAAAAwAAAwAAAwEgksp/DGgBpBNVP7Lmg9huhJ6xqU2bkybqi1/OstApf8BSb99DZpW4ABGJEMJ1ryydtYSIk9kYnUxCeqQtEfMNrRN7QubrizFmw9EH7XHWUtdqlt6B1cNr/9rrAjzuu++yzA4PDwxryoXCHYqPsRXNAe6ncRhLne3mmPOjaAJg0+RJ+jb1PCkz6dlT7P1ooH2Pqs3F9iDtnrm/BHaIYopMzuQ+NzYJ9h1sG+2KqJ/P52hHisaawX+3cJUJF7E8d9hcz/qeRu5C8jkiT6xTpHuLn8eDM0gsOM5lzRYUpugo7pRwKiIFPZQxon/VFSgjqxxkoJS+JIIxk6VOAfMBN7bRBZSsZZ0ImitmRAbdEBYcSeB4Uav1tXwxRIMMFcza6A6mdRGdv9LuzXB+hnSILW2amLrp115IJQ+ylyzMf2qXXcyTTvpAJiu0JNBHaza4z/04kI0X0Hg9FjXhoyIHsKmxYNOV/AXmMul9G7yhBL1HBdQNnu3qXKGj+eMKJYLnPpz7ZWftowS9kc+2R1Z9SBasqEJv1tVciZ9qd4dzIneP3p/mvdJ6rf4HN+ZUxmYK7+NH6Aj1phXavh2Szfs0SV38MxD4rSjscm+SFGCBWfr5gz1txkQ5o2xWK6cW0tL7wF4321QA27L8DkmHm4AAAAKwQZuFSeEKUmUwURLC//6MsAAAAwAAAwAAAwEnyTgcivVwlwLQA3UOLn5L7f6dUuWpZjt/eEMaQFQqyEMpja6pkcT6eKEF2E+ayZuX0CNCgekqP9z6/uriH4unkLtNSmg+D2yCUBmOQ2MqzyCf3Qe0z89vSBYNEDXcZ70ob5j70vvYNczskTobq/beggQ4lJZP/zupkWegGPQZp+p54dG2ssn+kM58HYjt9jOVJuEik58sPUXoIFZWiqT+us7Ct8RpNyiwhX5p+dW9AXqfGJHKoW4WcN1G5D4OaQjYlqmhaiofKTgX/TKeRNiW/Dg5RFdonfiTgb/Vbhy/qzvOpv+5Aqmf8JD5JcU+kSbRoOljpduImcSRavCcYthV3vMlEvbFHsi1uOAnzJaBH4ZHPWK6cUViCkFGUGkfL+KwZawDZSi/BQ1xRlDIaDiFmdApvTjpq3i+teDpFw/jY9VOT1h/Xs4HlZ6PWtv55E4WR3wfHa9uPoUsEdfQGJPG+m4n+IE3CeyJL8MDhlxpDgeeK0XD47RptUIiiaSX9JDHMKNwDm3dbNF/FYJX2CvMp2lxZ2xw2Bc2cD+6ePZGryBxqpy0xt+eJ4x/vYNuEzAeIoE3wTZkLp9QDn6GOIm2sOVnb/g7hjTFyyrECkv3pGPe5GMOlPZX3A2t/PjEL0iRvuspNkuNV9zTuPvWKJb7Z2MwVgQk7CWpJbGwHQUxDucd2QePVoJc/bYfPMGCi+ttxhswkZyiWotLN4YvmDVGLKz/rRa/ykPTaU/l8HYSiVGFkI4EXOsfxCe0ne4gePCbCsZxnI1A2yaxX/e75RKdKu94Kg7c57QyDOSb3P305LiVG6WrUrtshlKA3jQ0FVNOtkCzJi23zKzfpPBesIdoCZwubijqAAADAAADAAADAAADAAAl4QAAANEBn6RqQr8AAAMAAAMAAAMAPLRhP0xYQAL2ik1ckay1yjoFs3/5bl7G/xKNxRSarKSG2tJR66zSq4xWZXpQrqolqasqL/0ylfHK/EcSh9tp4DfARlntADE0iquSPbwOQWt6b3c6NV3eov06sOigBiq55IDGOXNyAG9vxSCx2QZkD1wCxPCYfKREMNwLmc057tk4cJ7gJIMxw7ZUwg3hV2hmXx2eV1E60TidEoeel/a9N5uTjWRzXeq0fLtDUnQ0sVEugAAAAwAAAwAAAwAAAwAbMQAAAoxBm6dJ4Q6JlMFEwr/+OEAAAAMAAAMAAASSxN+okmfhrQsAGwUbk6cZhdgqHvvgzz2ZEo2pgvPiNb5aW09aQgcuZIv+6aKzC2PndYCoVXF2j8nsHWsW07Ig/eBMUTP08+ppOXHVxMIp7SIHGGrxrGEPF+VVqWsFa0zqye8w/z4iOLOf1DBnsymp94ehzsR56e9Wp19kNyucOaToh1hNxvBvC6HCqUBWGH/8i099ZJNoCeJDcvbIbJF05cCKGzWXFzBjFjvWkBQZa9Q0t35F1vMlDRIflLWODBriRbB8dbad1g9QmIQ0hkA/17arIa0xYXHqstiEULSptOBwSXyXiqg8MOhrwS4wI/ClbPEYlNEQCZCQz7uIJ3Rt1QGfW34MYwYyTSlpkku/H8rYKjZYTL3aBSpJMZDuQeAJbA8bRsNYT2IRWgJPylfGFh/Q47yUrqDtQ57cRF9FCEzpV8ccsyVCX/JCG2Wcs+ZLpIrUUilexPacpaHwYAXuWktdZ7TU4tHzbSp6PgRsJb2/F1DPcPP2k6a8msWKZBoQ5cCKLhSaFVxPcIKdsWDsvn/vdHy6GZpaIAsZX+yWsBVQwr1osf+57qsBZ3BkbmSfxyPyQP1wpyNcn0HSNMHhQHuXmpXk6+TXsDw4mDSTYtSB2z0mPDc/DnZxSccD3Hcsv6yOLx1JH0NXoOpqsJ01VGMIo6SIGR9CV0pc6S2X/K+AtURvcIlhb+qzn6Yuga92QbKIZ24iC2cqWu3zdlTUCS5BYAJqtXLYQQCPTWj/VkQTh/ydXzE1Y9Far/RCUQMaCfGKgnQJUI90O+UtVhnZlqptbz94524davLZdmwEh01EO+8jj/m+61H+uTiQAAADABUxAAAA1AGfxmpCvwAAAwAAAwAAAwA+Cyi7M0oLKcBCct2ACH568HE3kcsKG84xKeSg1Oj78C9HvKBssEnWw4AhlSRhux6yqU49SyAG3SwpRnXIXIswYkgAz3k/CWPJ1xcnejPuu4q9RxeLEGGjdr+IVHmwMw+zKel1WXtygOQnJueWp60ti5sVJjI1/SfczE4wSW3MTC8486rWDRynYZ9YxjxsnoN4/tCCO2+Aka3yll44VITZ6aA2//6PzQ7fgbu9UXGZsq9Fpd0AAAMAAAMAAAMAAAMAAFTBAAAB1kGbyEnhDyZTAhX//jhAAAADAAADAAAEuRdGy1ZdHIAWvsbkTFNrpf3xAXy+1ZVj8ggYnPi8E3gQf39BY2LSnGtN0uytV+ELBkht6ECAKjAevD1914D1oOr+T0LaoSsWDZD0V5Vuo4+GTvupK+/ePU+NfHPhHH3DzTxdsvIlRFlYbDGJGD0OjUYzg5yc449mCnqNcVw3Y9zxCY5AYmX8IhUr76mpe0H1273/bjtTi5aVI0OP0dWKrl2Ihdfrqp9qQ30OaMCH5XZWoy+fQXSYhehTKEMXZatG/XvhEyHsl87r22icZiueRCqwunzcRiLh5uacLhD8OhNHRLoi+0j2teXwNqzlaHYcMvuD+AM7fjFhCVpKWq7Xwr5bxpGaDsmkY7ig6dU/rA6StLgpIzRJ/0gyQtQOLE0pJjR+h04FFw1xejiOGJvsB6693WPTCs6IiLayPKBcGewcEdik86984BJrxNTTXpUKvnkZ6/pdWGSsgY6poKfX3gVdUihScyS59U5t91jmX+ZmmmG0pjqO+AbqfqUUAfioOzZcVBVfgZw74eNpa+NoMun+hO7W5PiOPSVlud9tY6YjPLMhAwTEH+J3Eg22oZJEVP7ePNOmNsS7efwEYSaAAAAB1EGb6UnhDyZTAhX//jhAAAADAAADAAAEssTKkmp1LQsAHD4CXPYSXH8Y9auk0zmmV0jMxovsAdd2EAyo1mLd81hMiwc9yALzxa9Q0t2Ex62+HeFnS0XxS++txOTSb4mMMjaRu+S0RaeK+01deKcx9aDz9Xg+lcKp4P0J0sR+aRThBbyd46zL+ToVEacvNwLoJtbrRJb5HSIsMaaee8sGiBbOTtAP4u+HZPfuAoTm83LQSW4mqhMdh4v34lXWWlZT5ubeSPFuCK5O7AcRbVJCi5mxH5wjDf3pnXQ2P9JUS59Wi7d7Fjpgh2962sQSoB8zwWs+8KWIbGKYZcra34z9McydyH9cGimKwIA5ORJlH4V4yvhdigfE/jXDSsf/x4SUxLrwBJusk8x/4ZXic/+MxXMAOyBZEJE48Bzjbs7Xi+nwgwGV9E3eJMBXe4+2n37Md3xFMGRJLMTOtOlW72eKMaIAC/im5eF0p95ZGch4rVU3h9/MH6VTAtewHV1ExCbI00DYi/tY5BD3mXakduD9SfiW1h1gV4QObTMEJ0vP5o+NNFjyX8740nQv2LCMlHto0v42DGNhVjzzFYygGTjU0oJ2EjqAw5XI7VmHhuQA/MVr9Ij9xwAAAelBmgpJ4Q8mUwIZ//6eEAAAAwAAAwAAAwE9dOfN2kuuzgAG0Tdz00WPU8GACigQAkOlrGSykexVx2hvVXlkY8XOwAovKBmb3yEidP9RAiM3bmHSvm4zP9Vd2C1KrsybMe8XfmO9R6NdiOvj9/kVGxDu2crPkNLUV41rUBlNuMjS+u1dbT9t3TkGSop8B1MBpzO+SJAOtC5x/7ao8nEeVgjv2t6VppwCPeL3J4eC7uTOYAN4TdgrgzGwNpgNYyx5XkAvyRE9rTCr+V6P/2+NvULARqNJ7emaweSbTYi59GM3zLDhMA4uf8BQMf2JhXxpoT3QsL6D9IzFND13x+Wp+kl4XTQA9IHlQfR0Gv0ySevvBkn16WiaLRs3MFWx0or/Kz7tyQHfh2rbl8aTNWHRrhSocw/9uFJ225pe5y0/a5obIJHl4krBIpvvzT41ahuo395lBvCq4IVrsU1gs5BeeWqCPBU+XU7X+NuNDugeoWcjKBUc8oeHBd173/thrx5B9QbB5rXySRoXHIIXefzpYJpL+3hbjIoK/VUsq5HzStnCTIafZM+CexFbF+gBRXuw+Cd4fVTzE2q+JIUIOtr2Esb/T5fPU3x9Xh7zjCXmO6kAfaT8nH2oPl/NfqE/7q2pmy8k8UtiIo6zofEAAAI0QZorSeEPJlMCGf/+nhAAAAMAAAMAAAMBRswMACMj7NsRiCqleCGBPchD2IfhhApW2oXcmEn8HxQ6ksebW9o/rIW2DJT1SEFsGbhoB4fqnv1VOhqSIW/UE5PH93wXXGw11Qm5XkhlXYvsR2mtpkPPY08PoJWmX7pG3eDLP0D3oY0BGCpwnQPfj1EcwSzQToRalTjlghhKNyjcmhwsKZlBdp7UjwzxDD58+XOSU7lPRs897RkQYLhH7joz2Ps1Wid6OVPXSoG6Kl74Zf1eKJNdp/Pt6BjMLuf7bpmH1VQXjTwapgW8r4ESMcv+ks6noqEmARsbMKBRQjls3ko3clKNb2jvr7SV693v6ojrN+feiIhRciuloivdViLfIPv1eEXa0NFvQxQG5SjQaEF8Aj+8VKpHnTssRuWDpMPv2KeyIKhB+CsKoydVnXInFEwTt25TFMuZ8DrmJwDqePg8YxC4jfF1lzYFxoR6o6nJYpQUGyY8FN13z/vMx8o0IggwzL4cPXlgXtio3w8aXdV+9PNIQhS5mkphZZXdevtDpzC6gp7os5+mYHWuu2jiL+HmZNQSK2yuqs61jNGtFNH5WDIaFA/yiWxQzrPcVdi1AO/fu+d+FilGIeltEQnPaMbfMlaCAvK9QDGVXX+j7JG8pur1LTCHIsgrVIetveQtCN17Jie1LueJqExVZwMFUYumszahaJtI6Dsj++iDbPv8hE7jYgwk/z/sAb6DL8MKAAADAAADAAS8AAADqEGaT0nhDyZTAhX//jhAAAADAAADAAAE97bwzORbdL/7DjYLoAsPnR2WqkEewCkBEhBE0nTPplfBfsc1/9l2IoUt5ijgZZPOXY84jRWYSQxLMgzkZ5Ywlqx1mpeLewQvcr/eO6JYWCgPQTLf7pddkH3Lpw0DZfl2a0SiE1bBW3RBv4ORUIDBXAiQvTktVs/Xarf+XDagDPeeo94kdYuZI9uTzq+WEFVtyjtIu5lX8HXWnf27JTTVwj8fyd33cgNAbxClrTSxBPLevkwWgAwQ44CG6Lx5mxoryku7P9bxhMmbb7AvVsGrJ8Sp/EB56B5gm47ZGIFvsqFJPfbIH9ODKebsVhboC9nWryQAp1Ejw/IZ/mqHK1oRAX947SlOInPDz92XVgwl6xtX2yWi9v//1/yImXBt9mGkhOO2PYhCWHLFqM2nKufDdy4mq3r8QmIJw4MeibK8+mmTKbH5pt00Qg2RHbhkgns75eQEeOq/7pUg+2NwpoNC1Wls+WvN7E80OQ4XNuvIjsi0NrCivHnc/6MaIT+707C3VHp9GuL2cwGtzUDef5nehzRp829Fn43o5/PKfse7sFEk/0VOOqTIXEvaPNngUVb1npY9g3SNbza05eoUpjkLpplQ0NGFKuzNTzr86BUk5cuJdIUwyHu9WNecOIJUe0htcTjPXlxIGZBT23eQV9ShdaFJEOmYMeGz1s9vpNWqjQtTsK9xTS7eVD2iOzvTHiCRS5U/JUa6Q9O0CWtBsYvfrJhV+nhwA44OkcNs2T3XMxqLm+6pvrLGz9iDzt3B1sUdxZLYkkVhfoFyXTZ+b+KC88e/SyVynT2FcqkGjU81tv5SYkseiJIEUMmXcbj2a7kOLcy1qGJGa2lF3/qsIIdJ/Q2PlrtLip2h0uoRXtJYwapp9Usn27TwpMe5HsKo6Ygc1Os8ngyQzmB2gJEP76qXpST/YkhHpznbhiBDYZtq9Hi892gTpe98FfBEGY9vyVKN1h0O6pMUzQC9rZmKtAP2FY+ovzuiLcyyFzk3e68yqI6SLjYYdwbcASoEnd0aQrrD0MKSDW7NKMsTPZzlePw2A5cxFd3GBI9V4ITHbiYUN0kmmwUZSrORnvQ0jNekpNMTZn+g+wfy+JvYjwqvWYx9Qm+zvdgUW85mrkcAHPdtfYA5PgLrhKOhMDhrZ6StK9W0NfWFN+5qHv9hOTKyVdmExsvNz9qwfs2/5notQLWqd88S8AAAAwAAAwAAAwAAAwA9IAAAAYNBnm1FETwz/wAAAwAAAwAAAwAkPN2yC7AAaDKlEi6bLb6I0oZ0h1hLw7uj6H1cd/1UJlhk8zlcAUJMaqznVn8hsURrr5SwjuL3y5SB2HWee0zIVfVaP/ogLBlhNsx/Dzbt+cXol9CvwMNVvcjmMA4HJfBIHKNV3Lo+pXxM2SySMMlv/64X6AwFx72GOSEKuGK6jE7vsetzxEfiXiXjHEPbsTB7rc1AXbzNQC9tQKswRlJDnsR87HAoGvFZdKakPMNMizguIi1CSADwJbJnhdl5Rft5wFypSQ8/uVTOGlM2M/CIOAXMfd89eG2G+U4EIMsNOVu4gH6P6tcH13ZgeHDry1H9fPuySIVvOahlv4eLnbFfeUyj4WYnBIsf0AFy4WuatagzcINYACTN5iYN1WYmlFXqzk/RyZrMYKKeRyLaMhd5UdVVOokgi34sKnRWImoF3jQsxOyPyLdShprOPwkwH2TzIVBE2CDEFvMFofTT5COivMqiMAAAAwAAAwAAAwAAKaEAAADVAZ6MdEK/AAADAAADAAADAEJy1wUK4OADku+KkOeufdbaOsyCNJ5k+hSNIL1+Eqn3QwbfFGxHF5fIBz3dYUhq35UNlayIdH6kgHg4DU5NPf/vvktPB2xyRd6wpIYpm16wAY/anjfvHyUlQuVBqxn8KTBSBw/CdX3HJEMAnAyt1/yv9zfqbpd0YRT6PpyMlq1GOX52VCIaqNbPH4sDK9g58Hk8VuFdGOPOcIv0due1yv+IcR0R03jf0iTRE80zzPQLKTGxRWrMxwAAAwAAAwAAAwAAAwH/AAAA4QGejmpCvwAAAwAAAwAAAwBDZCd+lCN/qGjc+TnuALYl+cvS5PxJrwtzWtVJdAAWnTv+cug+VIrrUHya/VOd2d5LlTi5DBVziB2cUSAtn/1NgCvVZRGC/wNAEfa7yk1y8kMRuEPMD47vppWbIPHf74SkAuVMYCBgL3YaWWyaGjUmSrcNB3rZqNnzTV75mcRT49ZzMtfKCXg8OyIxmb1uIpERjWuIUp5sbsXcs+uClq09pebJM52ExhZlnvKxWz6gCEaBSU6blkExD4FjaAiCD+3vwfFYAAADAAADAAADAAAGXQAAAhlBmpBJqEFomUwIZ//+nhAAAAMAAAMAAAMAGSocbK2A79hibp/CCVXglkGFmMAExvbo8iwHU25reMYQDxO0uaF91Qe3BrgLgD7kEftRCeKCTX6wgkD1KZ8UAbrzz5OEszVv9KH4VDs41xJov+9jiDHy5IY5qt/4tTpQYqgw3l+Txr+kpJAnbSBM6S+jBk/6xPx/a25r9GZKAjbjictIfKJT3lsQsR0EJC4Zf28MNJ3rPL+FHyCJvOH+AQ1k+gVIu9I9ROnDmLwv9twgARtqj4LpflAYv54pvg655BcXJLT0LG5W5dyuINj7Dyqx+R8SftAxBQ885wZv0IclPYPOW1KeXYp8Q19/+BCSQWo6bOyOt5vVQYikAFB4vb6WhLSghu8piriehwfI5M3vb6K5BTfA/nlEjL9eBZ1M/4jWtMRdFdW0SJQ4nKFSWax/+iA5KQ6xKwAbJ61iM3aNXPd7NqDvEL4d8d7N6DQ8bBAhSf6nZjyvFhiLZIrCyLhHV4Mi89WVt7jGPsC8R5Uyc28ypqQ7P8S4N0k+fYoEHdtXjOSiC1O4ziCfVDeXIE7ybRSf/5oPyu4wffNigZfNZGHNYKcNYNOG1cFaPcSQ/24r2EjjXoaV2mWqO+2i9sGE3fEeBGPtuZHGfNsv2FtyCBGLqFHtt/CfkVdVtICurGXmFvFTb+jLQRS9wclEjU/dI/JAZFG79a+c0w4Y1zkAAAM4QZq0SeEKUmUwIX/+jLAAAAMAAAMAAAMAAer1u3PcRD0oV0DA4Dc9f68UtTfOMsAUdbOjY5CJqIABVDUxX/2Oca/y9lQlt5jIQjVT8gsjWj3n7M0szMo/a+LYUjGRorKKpBJzlhumdH+h9ff/Miq6xJrTaut6v4lw7BBEJtVyAfE5kXL5H7qvG4aDT5y2rIHw3wm0gEPAuCqujzwd79Lg7PL8O6tlX+5NjlOEgD9yKdK8W+X58KeDHKABbmZb7pqCEfQXxR/nxQpU4mEGrevGOWoaBfjoDH//sc6YlbItMX6Nj23HcWhQ/P/uouHWqNy19E+nf72CMYv82YLNDoGmf2cBR3pCrmMrltVcWp9Rq8aEHu3/mV9Og9VrzGDLXfGCJJKy0/1ULMxJsd5fYVecdxEzM5F8z9q6L6fhyJaBZQgf6YgT8dmXNCAo/Z9BP1TRnL/jDC+AkK2Kbux1cIoDi2+h0dJbNMRZuB55CWcV6WmKpkWRKeFbdhgSI6f3x9zcKzWDwhDorm1FNu6X2Hn7njO/0c+39Yxu+iJpzVWhqYSswzdsKKyEpERbXbdIYbam3rVSPBvz7de7Tw+Hol6SbaGqhyq4QGA7XL6yWWdvIQKE6iDY8YXPz24+41n5a6GWlySSG9VHi7OvbmZax9VZGPH68B1Jt1sOF8/5XC3gd9eIFYx4IrY38BX4KPTpz+9GdE5ObZgaOojMF5je8WKXzo65IX489SinnMJx+JjwQhrx8qL5VLD3QuFWt9xGY/j/fJd26Xzmj3lvbY2yki1VMqzKWovsTjoRjOugP9gd2gqGOOBsW7XvNGNuEgM9+mqHZEx3oy2DIT4ktYw2X3dSft5ns6irB90LOZGNayHt3YO1wK/Jm2ifnacMNkITIqG6C7tHtmSUTKzx5CNCCfVJCE44cp+HCXpZhSoWPw9hVGJjDbEgdxokF4hxCCq+GZ5x4uvMKKLIJ6GyQlS9mJ9AtYbxP7oflSLdfukyFwCWtdbuOAVTUHhhLV6h+9MKzqeoaxkK9ETrSInaSne58z8qpUguXzniqGAORjzZSisrVSQuzCb1CglghO2t5ZAMgAAAAwAAAwAABlwAAAFfQZ7SRTRMM/8AAAMAAAMAAAMAADc/AfWh+nNnn3r0oDZ9vhSgHz5C8qoZXpQYX3DiDofCwwIqAC94umhI68He0Z8HZ3j8JjiP0DDxlma+uks9A/N19PGzZ09kY75i8uN39PMZmN/2jIWeACUUdl6mUWLPh6Vy9EI8/rkAzo74RDhEphDW9z++7R9ttXZpopuwuUkUb/3XN1zBfTe+M1v7lI54p6ojMVwaOgJimBp+dCYW5PuLnqTKfH1Xx5AUPyi7VnsIWJCzDWDPY8Kp30u/JECVTtQOhl7x09aPrNblsC4+HaYfO/hHYb/ig9UODf2wzYYimm4a93ujgP1QXLHbYTgOeABuaRNjr7IOJkujCOe5CcH0gdS5ti1hd3Po/m8APO95pfWq1gIK+SnxoQXWaCWSxji9vv7WQ+Qmyc1f+LT99pUjjXbGBRVYuUFjtf+z/sF4AAADAAADAAADAAELAAAA8gGe8XRCvwAAAwAAAwAAAwAAZyyecaaxY4kGcUIdIKdo65rwb1/oAP4Mgersewflq7FvdWRl1FqAhcdo1+ROmt4VVKEH9Fhoti5nGIXpgZ7+mQop9ofXwNUx54kuWwxMv8OVxRba0IxoF+kGfCh+/HT4H1lNie8QdN1ff4qwKq9DdrHci7Ow74fnANszjEGqT6731zVjGT4v4MRxKiNmCIT8sfQ4Yp0VZ7ZTeU7eGnYJIouSVWkPeDTHqPnspnrV3aHAH4U0afKSXftzXLmPZtUZxYBJV/0CeCTt4dtaORuxREi1JFAAAAMAAAMAAAMAAAyoAAAA7gGe82pCvwAAAwAAAwAAAwAAB8X3jLGLF5DWDXOfDUJFMbh2mAD7EoyT4C9UEGJUfrlD8qRgixCxfslZJ/QnnGz4O+CdvwhNwtbonc+5ITfxjtdAr78ouJOV/OljZYB43gx3Xv47dIQxwNdOXHVRgbbusWZi4ErLC7FKC7OEC2KpjQU/FpRoGyMe6owDwkYIVYRt+G2LRkMkPW6/bFxMgHK7BhBkUSvclsZvAz/ZWO/3ok2UzX6OYRBbO7d5qrVc7qHpZPwKLw+gQPaqfQpEHuaNKkODtaSfCUOo57RLt74kgAAAAwAAAwAAAwAAV8AAAAK9QZr2SahBaJlMFPDf/qeEAAADAAADAAADAAADAL/7KfgsM3pqJDI0AHaHAivGFV/oM/2lqmqpKy/Iyh//oCNvooz1hv6MPNS1UpygkFuqldMaH7n8r00lJSMvZuG1Fku7xUYJaujvjTNTHerpxDbQGNRXJ/E9CDPepGnFmzlaCxpILhZDa/Oqnv8xIVpyS0dQ1MeB+GNfzLd3DoK54SoSgbzPK4seD3lHgrQJQQecdBoNK0MkupBZW6yg6dHOQ/UJIWUG227v4OSJ5U5F+D8xSr/jA7qj9W11NYrS3CnV2haucBqUHhtJt2n+QZcMQ1CujGIZ20h+O0+A5XtwNOENBwu0TWFJqbnZHJZykgAHV665gFqrh85ZMHDhd89bGDGEi/CturM5e4rq2CyqMQrzXlDE9CKClU7oZ7KyY7M+PVRak1y7zPBrzKxmK4S7G8H1609J1HqghMl1BSGb9ByWmCt/4nkhfv+AG1Fpu58h+DPD3+t0xjMKSuzy2nHsSt8iNgOXEFfmmRwGSuS6u5rd1BjQZfgb8YLJK98YPX+Kjz0PQHFD3NpoF65EybUTkFOSZRe+QHDR29UqhSBSyzEs5bqZsgxRMMf7CI3xZf5GUzWQ7csvOsTJu6Bnf7/OAy7eLMUkHn/2v3JapoGeY8fghyFLPimnRKRa7o0W/Z+yMOTOLV1laIoHiN1cH6E3tQWWdYpfRhyRd3iVlopaH666n/QIFaaHNqUbb7op5B8/W4pMPho5JWwax5WXkKafEz+lKzJWQne5H/fts3Srgwn0HHi/2gbqvIqT/pRaEoPwjS21u5GuDBpMJx2jvf2LYonjodxBKxZ0k9B7NV4/SSz1ViDOeI0aeVbnIPJeg10FbirwMjYaEKko4bmp23JQQsk/8RR8rLglLFdt/4+ZNeWk5aYwCVAW5UHC9/AwZSEAAADUAZ8VakK/AAADAAADAAADAAAGwsKfT+Md6ZUyJKu/0IEWWtePUWgB937YAFzcpZL68AGc0UOGncdXOQWfSH7v7mJdVROQy2map/hB8lh39g/7pO28sNclnajz8Np9rn2s3IyxfT4hnupNsbvy7qIJzEc/zvkMxRAMXK+FrfSN3GyA6BSzkicNTrTbIghsN6uMeYir5ZO0STgJW7c0ifWd3adb3pAe2yTdL/iP6cuKPZYR60y0CXpfjfHBWtmmgAYoWZiP+ZnF2YAAAAMAAAMAAAMAApIAAAJxQZsYSeEKUmUwUsN//qeEAAADAAADAAADAAADAA57AH/oh7nUuDR+S3XCO5hfVEAHaROdR/cTQyvxS42sRoOVg2Y2K3M6Kk5HFMJ0T0t9UlSQ9Ti5QnmZkDIpneKtwrHilc1YU1c6aoqCw341tA9+rRn45EjfJnE3goCWyosGwDuTzRr3W7VEk2Y7S767Cgj0vZzBui609LKDf2yAXiOuI+U903tLjJwWw28OZKkVnJfFdaT03bWgrxPvEM2wXxEawoVaZc5AYKltIRUoQ+/AylFb4jQh8HyqmZ1eZqlKzbPPK8d8tQDvnzWap8noHUQOaHf/0z7YAvgSDUO7J/IdKWNNjfp2WwbeyhtmqgOPljCZt4C8oR7U/sz/3Ix2CUW+R2nVMNmirgK/kd4dF4wQ4xxLk1CL4kzZSvcx84+YL/Vd/V024NBgakfBdSSQIeCaTL4wk5Rsjnkds56OcCGii4YMAz3XpNPASeA02YLlVAgt07q46uZ2ahh7ss+WF0GdJSJpJNtmilt658SmrZI9AqA2sNmxuKLzlEPEc4r2z57pBD7kkf1f3lU5AHjrZXgfpqBFx/+TOBgyERnqb0AW9wVHF88G69DB1RTzAueKL6+UEBhQ32Pk04vcAUR+cw0fXTS2pUsSUYjSKsqPrIx9czi8y4TBPns1xnhesZPZtAFCZNf3LpSLGWo4q0UFCwStnl5aN7negtYhit1bINi34hQt96prA3RKPS+z8tWev495lG0dl8mOcPoujhdAVnvW/+CLKw4uRhRlF5v3pVj+63PvwQdtJ02RSiR09c0uAWS7kqMYwAAAAwAAAwAAAwAN+QAAAMYBnzdqQr8AAAMAAAMAAAMAAAaHO+iJ2fbClu0cQAdV4C+hKoxNvdEoV/GjZJ3HstjPMQyFkiny6CoE5K9SyHuNNm+KHzgWxOooBHrt+3De+xtWQ6l9xPoWKJNbQuBEdDDxBzFpf/mMfVHOFx+d5ufRL/DOINgux4LoVDKUs4cMbrCd7IM7+lrsGK5lShtF/OvROskquV3zQVtHYq9joK8XA1wZAP5NGEIcwZcLRWpoKAgF8eML9TKISAAAAwAAAwAAAwAAXcEAAAG+QZs5SeEOiZTAhv/+p4QAAAMAAAMAAAMAAAMAAR5md3lBRAAOk2JLnJ7f3tXxZqTbz9/ecL1dHm499zGyaaW5WrQcnk49saAhlg5VCPP6yVKYRjRhGNLkgBupM4vBcBwCjQUiqTqsXX8IA73TtJ0P2rxbRRI3MuXpBQo4caLzuludyS/bGYyvT+7WRW8ACrGlqwwNAjrZR5SUkhMtJMTtQ6eKbRl6NMRbvNAZbM/D5/7TC1m7++TxnIuTtmn+iVqPBMzRYdnG+tYMZizLZ7UbZpRG+eusskMt6/kx8pjZJwQoE41ZKmjAlY7+7/2DGoAH6Yi6oFWwMhNcvGmcVEh/gEzbxwFy/Dvxj/SJgVOLKvBOr3Ub5Y+kiNGmX7mgQlmXXiO92kdnxd2+rf5QWbmzOgK3/hJarnmnAqaEAixnaoNtskO2nlOyYNM5jdiNvnbPVr4iCeVTqosG1pjgS+nVVoUfBuf4x8XfELu8CnJedwUqACUbfkitiSmcARnN3CW8vAT8hcL9vsxFOZN7oFbC8ufeg8MsrhVu3s0ERPpBpQjGBAngQK8Fa3FvfomvrSZJOD7ejQDNGez4D2xQUfAAAAGGQZtaSeEPJlMCGf/+nhAAAAMAAAMAAAMAAAMABFVeC3M0gE19RuQDs8k577iXRLqDu9qGCv4h8J1tuGq3JZREDHB9GLyW8Is/WPK3v0wTY6atypbnmYn8U/K4gYkf0B+xw5oXK++7WiVFNsS7LQ6GEvYqsP/dGTqNtDFxrwGNnkKtPEPM2ZvRDMNTYWSvYAnupE+twB8iLQJk/SX/mkVkF2CmBzunQSJYVRkiVPoPqQzCwS654XRFDhrqixijes8KLqIsqCAZMC7lOzteAF0YHkplkXbVSCfQRjSnaC3+ZKI94zsDc4Qnw4QFYLprSiiBPEaZC9WC9YQfVkBsQ3W/LWjRP58/eocSCqm+Y7FJ8WMfK3tKlZZZPRrLdCO7Y39/3txmqu/1TQj3TtUm9zx5r3bp3y3/qsULrI0tMYXf6vO3PwlM72W6q7a1oQyYFX7viYjyVCXjFurBTPyuzM9cmVlmLzOp3EZcjjHzXOx/U611SYL+y5i3e31UiD4+y6yJAs4pbHgfAAABcUGbe0nhDyZTAhn//p4QAAADAAADAAADAAADAARZg1oE/4TBuDcYjkoFYAQob2Zo0Sz285L2Xc7wHv9lC4iXqq891WLCLkoS1xmiXeCs971IWyHwaXCvuhvfkONgO4XMTR1s9/UFSD9exS8T70JsShQh9fkUxy6IQdC2ZnG1BMoCs1KMkb9U5BLqhkIkk4eZHwj2i5a26rX8FM/x/djbdqCjs2CSRKklV8/KGq8pNQ3h9MUpprAinMDt5ARZxNvgWbNWRXuvQRxCH8D0sXw+FkdgKjSRVERu009w45LdrXBUvTvSVMehSz7g9nqgkSEoDAT1aOo7BhxuuqUOdLDUSVkX9I8j3xFTppVyIlhabG7YnTuJGElDX4OSBfmdw1MsUuNad+XFic4EoXyU3dt6YwC6RunHJK0DTQ6TRs1d0CPtHU7HeqcIUvpdV0Yidf7Ab2WJ42s9T2nsNUgErIJya0EMF2E7gk2JAPyNNDGwL5o1MAAAAaVBm5xJ4Q8mUwIZ//6eEAAAAwAAAwAAAwAAAwAAVl5e4DDjNGwlo0ADuqTjcmrjJMzvWSfaGfnwi/wEV36tUTEUG2bzf0jN93+AKXCXvNes8WFo0t7KkDzSoFv3ouExn5h1t6ecygwiJmXOtTwAXtr0J9vut4QLSYzL4pZd8unsNZkE1AbtZf/imDkUEb+V/X7tkgwBMPSiQ+v+ZZGQXu2XuvUP91WP07klhal0xO5k0en6y38dwAmX3lXvbW7MzRxjygP2R0+xrEPMwm8NN5yDzidX7pZM/7P0zy6qgsZYKOxcfCChIJnTthrJj0B8eFiACOoCUgMHkWpfn5h+65miYR9RcwWvtNcsr1M/uNhTK3qi4cQuGc60/hGwde0ifhAXJK2NxyxGPo4zr2mmAoBp+Cu9FShU//lKQ0NHC/gZX6jRYPLY01AiUgSwUrArzRUqgO9ikD4Yh5o1oSnnzRRIuKs0XizK436PvjZu2iGvsoh41AjP152jp1XoKxJESURMKEuGsxAABD0kJO+peMQzlgnPT60n4hyl7TlXpYRza9e2J9SlAAABhkGbvUnhDyZTAhX//jhAAAADAAADAAADAAADAAFP+n8mXR5rwA6QIbMBUrTYkiePA7YROGbfOQUu/qUmvp8p8ojWIBcG+UK8+LdkIGV42cL7q71iD8TQ4PHmZYc/vwkGCxnGRCG8bTrA5VcI+niBaE8i5vP4/WJo111Lf93oKhdL9juK/pKY5vL5AGvmA0+/Jn+tVXcUP94DZJUIqrwjWbgaarE3UrkS9HuJxwoRTSN12FRNKewlUSN0uZTAsuymoXcXT2N61gNqFu0fmEfTQyWcJzfYLDtN995rmbPlVhXe3r4uuXepa/cDT5strVbFTqGg1ZSXiWqFIVI4Y1YcDmwgIKKnkJ5Ogn0Oo7eLsq2DeWr4mxUS4CxcpM7lY8Zkwk8/8Vx3hj7B3njaMhheilpC4YwcnDZqvaGKp2nN8Kd+0d20KAqFUnpC5+4HXhASRMBHRoE89iiYQCsqFPlUu8k+Txgakf+G6ovc47y8ZfYSqJMacDU8cYmSzt5kyiNTykA7iIzOfQAAAXhBm95J4Q8mUwIZ//6eEAAAAwAAAwAAAwAAAwAAVHmXSGMucMa1hHr0UVpQAnG91i4SpZjB1FNidpfv2NBsCghT/PCxFjyFfjE+yXp6iLi+UfaroMcKRX45ZeeP7YBMDA+1SxSUsN3cjOMfqj03LHwffKAl1aDfZ/DFcDUdzH3AawGKhCk7Te2kr++/KGy/VYzySt96LJiaVO/N3sMCBFDUCZsH2bdnSy2lEePzdE/+7MuFMbJ/ek2yG6mqC9dPqhAOcK83j/v+yfgcUR0Kq2jRsUoGWGesKL07bF8VSNcwr3SA97BiSczBVpJoOySZeiUc1qJU9OyC+kRyNauRQoJAbbV1BUCkqRc0j2bywK1yC//yz3worb4KcSy+TtWCTsfA5eBIubsPoyqzdPVpAitljp9N0QerRzepY3tAjwEsOJ7J2C1W4WdYk/5whEdf4S4zCm1K5Psf9SHSgIHOYR9Jcpxc8wtejgjDyDuvZExfdhUI+NmUmCGAAAABy0Gb4EnhDyZTBRE8K//+OEAAAAMAAAMAAAMAAAMAABm6qFib3ccTSZgQAWFcICK3bTvCpod6FHmugY6i7gG32sqto5AmVxgfxBJTuWgWb3BjXucm1kAg+qJI86i3jH6WN42dnvP5yXVqby6oyALzTqsMa1xTH5PVnZoZifScODs6YxwLzcjzWumLYLyXfpV/uXmxYJhLOBa+BZenuxR6lGnCwnXLcWDmI3RaMf/XC4UD7mLYdisEBS0wuusgB1zLH0a8YD0tlwRoe/X7JikYEkJtNARzmgP44kRz8iq36/0kHGwH5LRMh/BjPOIucRHrm8VkFpW6ATYugiYxLmUQPPztHKp9dExd3FoiFe1DKRuGC3TV0ztEQfTQQvfob0SQi9gNFy0zPXfZnfYephZSxyMkftok851GAIH5bEbHAjqUEfDJNOuA4OzYPqJ5xcU6d53YN2OoQC780nZxNU7LBhlEPIEDlB79Q8AUjcTp+9rH2W08L0D1ZCZSKj7Xj3Ht/ZrJFYOC45nXF0OwmK2+gUbjH2wMzFCKP6neG67A8UBn89mrNOlfYwNO/74rD9Lrv17iYSy4Dw6gwvtOkzfFbZTenutahUILPScuYAAAAJ0Bnh9qQr8AAAMAAAMAAAMAAAaHO+iJ2fRMNed6v34T/rTES2rbaWGTHUfHxEU7KnNJ1mcCIFR/713ReHfWSQVQEHTswlszk53KCwfxRYNfYPwdtjVowyqFdcmagQvnZt5yPx9l07HgFlyD6IHlaCFWZXo/IuH/J2AAAULxrgecfmQATaHeVMaUOn78AVDbZzM+D0AAAFPjAAADAGpBAAABREGaAUnhDyZTAhn//p4QAAADAAADAAADAAADAAAGd4TpGyhA5YZAAfzwvYDSZF8cmr+lQTLMifB0gvCN/eKpQybh9EoPlQaK9emFk5sRQsH8SDZcoKYe5Q0TUm9c2QxXNut+N9lBdnEjkiNfC2WlCyMgXN6zzqNc7otWBXxlifgDq0lM/78Bfz046NVnUkM/JYoiju5N2rmxzNq02mAPZkH+TFpZZ6CYER9gyVoipUN8i4aTzTjohLZXBpxZKe1pZxg1jP95VMJLb0f3rH1mC+WhELvRkalHZdmKyUGK6FDVQWcu0GrgWpt33QAU7vfHPY+GnOgSO8Q8cuajrpKZTZ526nytrvbh56Rdz9rP//2v3ESxFaKCEcrlgmwM71pdw7KU+ixr/+pcCP3yKWyoUVBOHPC3/6Bxtw2LEZ7Gw7lusbwjyAAAAY5BmiVJ4Q8mUwIX//6MsAAAAwAAAwAAAwAAAwAAAwCA/EwqRdklX5yHPRj1bsw1/gBdR32atOUPjz/AYgJ//msmya4ikMxpFg7EcGtMLGaKaLvQjT9UPPyXQEkkkwPquSG5oOg1OUQ42RQj4YAbjzwHM5XjPeHn7JRSZbBRFIaweWxF/uJ8a93h5NHzFmMJgCsN40+N6GZS1dr1woQbW6RXqJJYeuPGcVPwJbhieV42RaCzX76zpXbudTDK64TQ3AP2H7Whl6/8WErUjyJSr5Frn6UNw3lvaybPktf1BF/s1pUZjXc1TIMdeoVq4OMTk5f847rdzKpZkObzyXEY6G739zSvNgBvfrkXzmywZWH1ar+vfMDpCcK2nfwVeIFn9Z9aTf5PsWepmABFmkZ5DTUtujtD01dsutsPSbY9IS3Y19t+VIodGp2KTOPvshRQxxc5qcr3ZX78lVCRn3NP3yzzrQvmf2V4Dlqw4teKyEvUfLdeP22zqCOF6dfzNAF51J3OM/eZ4AAAAwAAAwABdwAAASRBnkNFETwz/wAAAwAAAwAAAwAAAwOA2eO+SUR8Bomu3YmWL7wxh+j2QAIgcBUUg4gcbQfEslN+RHtsmSbCmEe1N9hQZlCCoefolFTju+GtUbGUqdwZHwZUdhcdfjCyeAJg6IJit6MOQxfEGGfPDN5h+3caU43hfePHmqdgc+p594bjWMeIOo0B09t5ju93pErE1y+xUk0NuFsCBTE4R8j0GAPrx2JvQAJSZ25mWfj3uUj/RAaIsG/e0xoy3FaBoMLG65Id1ZsoKWSJskLN2daPqnNL+xpx9Uw9NZ5z+UeUX3Zcnl1coUGKsD7Ad5SVgkOL6UcPFcNS8qVIHPMnjWdB5ZlJxWKU8JJZ/HJg3aYQABt+7Nodc2aRwAAAAwAAAwAAAwEfAAAAjwGeYnRCvwAAAwAAAwAAAwAABpf56OAnxL6eMGtaGXb6ST2Y+hLWJHiFBGnagAABfKhKIlU6t9cZ7ViVHVAqwKI2VNU9WvmqvcIpQjbRpLM3cftc87AVDmclZ+tsyRePKji18h8CQORHcOQt4hL5kh1DtM6CBNmRwqpcAAbkt00hzlAAAAMAAAMAAAMAAPGBAAAA2wGeZGpCvwAAAwAAAwAAAwAABpnSImAguMph6w3OFtHQQKCOBWXyvAAvqJlRQte1H44efNLvmxYKsrfotu+iiDc59GWVjsJQ/JNvX7eNNtb8L8SFv32tBJWDn16z2CV9KuFMneyOJ0yOJyXZAtmzSdVGeux69AgmgtBPqdrnJbOJ7iH/4J1FBJgbASD3yr31h1LzoYRyscLXYYK8p/374wpVSYCbI9uuD6rUHtM5T1LimyfJza6oXznicqgABuIsyOX2R5Og30JS7wN8JBtGAAADAAADAAADAAAyoQAAAeVBmmhJqEFomUwIb//+p4QAAAMAAAMAAAMAAAMAAAMAApHvCW7+Ldbp7bwsR5CMJkU1KADliwjFBTsRc6LgiCVf1ZKMjdVH9eddgz+B53SyqgaUrC+DnSqkhpuNteFklrF0Rs9vMnh/XOEM0AEzdwRmc4cndowervgICVgw3Q7RYQybv8biXZM85ALElVJels0ifFpHMcGGpd80HH4jkqXA7PTtKzSHgYsmyv5JFEexkOaKYIUpi/yKEj/lwAKPQRSGhBKKYfYqpz4MVAS0k4dY7j4UMYP4q7j4g1l/7fCaArMPf4Aph0KStZhxmbroJZa80kEEq7MEA14V63Eos0pvCwbYcvXyM/o7d2h0vxfQUiwu5kQLOapeN/ZGCfWm6XBDZ7ddC8FVCuota90CXsvcLgJUvXzfyqYm7htlF9DNuEERSlVbREgWhBiV7l2L+DGTqdMNI+tSLmB9aad+Lt3dcO5HhjGW/9t7/eQB2YMQhJzPZN6cLTdRlMeEeSPF+ucKGBpOJTw2nbq2TcxdqKz1WTlhY7ykrp7FnAc7P4KFaB8ePLzRsR/yra9arWiwIlzoWWHTxaRRVkaCVwvHOWQWXh5kE6wgMIvwAPbpKIAx43uDy5WNnjLRHYAAAAMAAAMAAAMBJwAAANVBnoZFESwv/wAAAwAAAwAAAwAABNfOQknBSwiTBE8Uun09eJaR2gvoABrCyMNuRbm7ChCMN0ljSCe7zBovMeqULTsibaHnhC08IBFQKi8FjbQxUt0lB4qL1oCCI20lX0r6w+5KeXDAaNb3U8ICPbCJWqCq4JVP07f56IsRdaagxtk2F//PUgg+SeJDPQEmIW2NJSlFIo+kod3jPPszfObr9zIFdTq88vxBwN6l+aqc6FiP3TU+R3sFk7h1mm6DdE50m37AWLyB8DJpvyIAAAMAAAMAKCEAAADJAZ6nakK/AAADAAADAAADAAAGmdIiYCC4ytVYymKAI1GdEMzhjf1TbU0mmF+mHgAX15JVO2xZzecTGa6NKuTPrVuwd89jfzokejUaqrHEeG0co2IcfHC5itsbLm5DRQXCfESOSdq2CMG/vKF/Jyaf7hF8qRAxBW+AvMej7ydbJuBBRSo5kzAvItHoOzVVbyX+B93pRTmMaYyxh11peWclhZF7YaR+knWaQkotx/lHxZC4RW4AHyLpIt3wBXvFzPAAAAMAAAMAADwgAAABbkGaqUmoQWyZTAhv//6nhAAAAwAAAwAAAwAAAwAAAwACXfI2wb4yl7NtI96N5BN/EpCzu+yU4FigBC6SCU2i/YAxOLwUl8ttgzI2aQWakFjMAKQkBbK9AD4h2fwFRD6oYLre8lvWLioalUlXkJzRHwCRN5+qy55F8slw3m6PZbCDVb55WzuP1YwjqrmJI4s8HeH0XVkiXLyPwOqPr7cv7AHw9ZOlEDzGIUotrEOP7RK3tsUVsqEE0V5k03KIe0PbH49p8HNmiK3RZBh7gYzfn2NwYbUwCJl9ri4EvZXE9YWA0YnFWwcJQcF97H8Zw8JGbE306LPRDzN5pfRvBLXj0nQVA1wfvJnRK6eXNSB7eqleFTFg37e6Gn5h9EGpY/bZ4lX30HxyBxpyNN20klx3TkRiwJz/dIEZGfJhZuI2bTbOboA+0I/tTF/ECOuw5ziGfyDAU7hS98ZT5zD74rbwXt0KOvJTxiAG3zeqNQKbQAAAAe1BmstJ4QpSZTBRUsN//qeEAAADAAADAAADAAADAAADAAAxADuTSssrygptzGOpTsytDnANjH35qz5oB/N+NiwvJ87X7cwLaKJUq6R7GlPYhEKwdlXA5eukDJo3/0/nk+fQvPUSRem7WtPiZuufQM6+3/7zQ8k2r3o0CtGApuKu6ht60wh5huzQQY+M6tgj7u8ze9mPYoaaBtJqVm7iQlMfJhEgJfd8dJEypIwSsZV7VO/aCeGbccvdW6C6iOwoY88scexz1pduum+MsSEms7HSIUyfQ9X/fYaatf9n1lAhjjtJWyVhFm7MkPIR2qE97wwRii7l4GXeCzWB4U3q0D+lkvZNRD9dw5fxLprweAG/hPs0MvoS/p7ESTWGXGIcFaydVfzUQzuh+U7XHHJhaZH/E5tV7v0Wb6yJ3l1F2Pjz21X9qD5hIRWzkyY8bRMwYD7TWKsflGd6zA9W237K9jpkOAV6H5LrQzgAJbHZNmjo+XIGSPVrouIO5AVAW0HZH3yRvM3aCOKTUVEBYq253qxWm4ey9N36mdcl2GlgRNvqMME2i74CkehoSg6ttzFGVRJ+75u2oWtd33Tbiq7IhNHJ9xLivgmxEJgRYcyEsZ9/NPouyuiIsrcE0djOcEQvIiQffpF8ufD9joAAACPhAAAAqQGe6mpCvwAAAwAAAwAAAwAABoc76InZ9EwAQKIn5xVxQAhOavz7c2w8S8b0UD9e02MaPaU59fEEClzWUeZhJQ4X28hipaCgEJOh/hbNzJd+p+YUUwOynWR7mlGZaAKtYgngsUcPpcgXdAWtYqz22WajW8Shio4PH7lfoY9Eq00bUp3KW6+JXKeUXxRQN2rCM0gFiomhW4FFDyNVgOAAAAMAAAMAAAMAB0wAAAFhQZrsSeEOiZTAhv/+p4QAAAMAAAMAAAMAAAMAAAMAAfL4CudmX3ihMAStBIg2Q0vAB9aZ9tRcTD7FkNDYOBw0Y7K9gEDy4hLdaMt0qMN80OGn5FziJwI0EmM4cqe4d21LMrA2HD77yW9CFClVa+rfCjU4XgT92SGISCAy8Kg8CELdjLSJ0+oMihxeI+5Ke01wGaWrX4ex08Y1sAnA35+k5wB/8nlqcTqgXDQw1IEZEq/j0zThu4vqyypbUBz/wTJ4EefWEixlTwZtbEn7ZmydHDmMOt6P3cvJH9zY1pTR7k2bsKS8m5gt69+2029bZSKMz6uR3cUlrFSWiNs5FC/yRtA7l+PXsuTA3Nv1XehumX3XddfgpW92Jw3dRDs6I3LcjUVws6Azs9xhcp5oOU7DIYDjSLWcEhdHr70gUfUxvHASuDBDAZ2jHoAN7szIBalpluDNJ1ONxuOC4twNEAAABJwAAAGLQZsNSeEPJlMCG//+p4QAAAMAAAMAAAMAAAMAAAMAACn4nsDZAC3nlYK4kCjCNZ85U8PkvnzYBIz39/tREr6WEg9ut30TgJWXVrEHxt014u8K0+ZyrE0vKVe7gf8RIjOgaMJQzuTp1bjXfljdBedWvNEXL8h/ABWTY++E2jUv0JpUQAxZkicmAKy/9YDwjZ2eQwDrKVqtkC5wFl+G11oXGEQf1mQ5XGt9cuz4nS2+uhku652YI24s3Hlu+O9L8Xja3iz8GiYv8Bl6X+sZvkNwN4HhN7/kV4s31Lgy+IDdpaoDT325j/DZnOaTnGnc4s9nqB5PgxB96mxe8lR+JrHdoEF7RNI8lENWHB1hOULsYC3x/UdFBJm+HFPp/inAzDlhnqvidAoLUuSF8XwKopP6pk02PYDwo5oHI522c8DQMC8YIn2LArb5ZO8GEzkyM+OBx82G8GrP4qa+b82U/b/l/B/UuDKrGxcxIi2xNgOc99BdNoFmuIhaS89jyA47wsccsavzsD/T8JkOhzkAAAGCQZsuSeEPJlMCG//+p4QAAAMAAAMAAAMAAAMAAAMAACo/H1JenhqlnA7UxQABLkjIyY3AK5GSvDL+d5auks3XUMAuu/53knWzoUZvCXp0+zYE7Ar2STHbdPD+Gh4AaY7iTUEODqA/2zTcTcpIMyhKnovE08SL4KPMquqVpafePnyPiiWXJL5vlsWSA25E3zV/nKFz8ZInA3iwIXMkuZQnqg5F43werCNjBU1ddHtrTc+daec8aH5NGLh+nn2NnvakU37iuXQXcckK5wJqPsVINWJ2S9AsJWtNclIT4U1/YkMLCt6PxhI1sp74GNxWPSdtOSsYLXlqC5+Mbi7mn8XxgFxt1ooAgZS2XXThk8Y8lSSMGB6MNhawRxA/iPGte0zFx9XxkdPKF2Ic9p2Kr1qdZu30aEskPdZ/gBnh+IL52nLy6lLttmjZrm1oxaiK/YJBZ3u9ZRlIzc+SjNYXkK/kJY/kg+ectEJY7cDSU2dWszAAK44UtMAbPXDi0mvXdx2bidkAAAF1QZtPSeEPJlMCG//+p4QAAAMAAAMAAAMAAAMAAAMAACjQuUc8G+yAD+DzeM5+y//rDPDj3AsfdbzP82HgHyiaghk9UazDYGqoZ+Ly16uXaS/xedz44Lo28LeHjcn7RrgbOSSwI1+4TMmutQR8fyMXPBEkzvUSJ/BJRA+MuqvXePqTkbPIJO0EX8ZU3TBZnJYBkWEN3Ld2PwKlCZ7IKZax4Y0ssv+otoKTzPLOtxxO3xq7tRG8dr9seAfbzxq6QDI+pvOBKQqiukbvcceIdJ4py5B1aGXeSxM6u98D0ZG30W5WF9SEH3nUcXiLmmgwmWDg/2kiw8DY8jIFTgS4UMcAwTtZi5bd7tQaKZxB3JGQ3d7wC9XZ4JmohnRYJxOZH81erf04j2xp6grdOtvxWMXxxj0P9CRIkPnujW4T/skSywW0SRC2frXpbRkLcOBETtXz27jbU9Z/LUmJ7BcfPHIK9rP4ykYDkza6fbhdSxUPGDtARF/4ZwAAAX1Bm3BJ4Q8mUwIb//6nhAAAAwAAAwAAAwAAAwAAAwAAKNh6v4gfquAEzFxr53XlKiBlo98ebEFLavaBvsb6BfM2hwZz/q3gbYBsCtT7lYYtYwlqH+1zn7CeOZmJqeVg93604WpTpfj6xbRvW+DncGM7BmWKWVkPOuesMmPydyveg3QKmgBF84zkq16XEjT7gkrYXFOMg9TX8SES6o7Z4/ysinE43QUV5SF0dGSQJkJwK1tasdub98NesUV8fdRQ3PuWrf5M2fSTrDWeWtXKKCq/tyshBpohiGxA0IBvwfCFS4BsXVAYKjPodYMxNbr2nkvfE279PsfS7trtbUztYSstwMjJzNQlKjaAHl3kY/exHmK1YWC0nsZNvSRQjDWOFo/8JZDMPK+QdhPgu+RBIb5t4EyQHnjMKDkRbuCC0/3eS/Rqsb3xvQPze55DZOnPKLQf2/ZiG/bW8Y4SBhce/Ao9B+r0add94xakkcw/IpZcPm9VUI9bb+hwTklbTZAAAAGbQZuRSeEPJlMCG//+p4QAAAMAAAMAAAMAAAMAAAMAACkfH1Iqds3wAfwe/34PWsaUBAlOn9eD1ewRCaq6OPLXCrek6qAKpmRpzJEVDl347yKX8bxcKWbKOevLvjt1KmexfoeN/+eo3ErxRX5N4gKSf4E+4Kofr1Ezzex3RTAaBnkfAI7dt6j35e98Fc7khNAGSf/jkKupV2OjmpUbaRQe9U982iOoh8WJIJJMD74n85mUzqYUWXg39ZoKnljCPUeOwaNRnYRwypdSX1ubTPKU5jFlxYtmzDguhf0AWKn+ZpIl8ShsSd8NbbviOMTkGjm4cf/mLhjCurs878XTpaffpzSh972XCwIP9V9ZkMElobQSLp4G/YBFV5JJsm5UX++jkhV4sZdn8xwIu8y4APTXYfvYlexljUAVykxcIxZrleJ7RTag+RmpvvzgwSK4IrS7UEe/zlAxwPmTKemtANEpSQw0yXkzabnWwlZozz+iQfnN5RZYnOrkWQQ1HAxff9oJrigvSeF+mRf3rLJrVURAEBhF7DubgRM/b+nOAAABkEGbsknhDyZTAhv//qeEAAADAAADAAADAAADAAADAAAnyji/dUgBMlQjhvWew/MkyKA1H7f78fRGrv/WvBcIpc6s2nJ8X4CWUwdCOlkmnJy3RM1uSfU5BGByr7x36u5Kd/um8iTUqeqb+6XSG4YiX+aVrhlU+U+2iM8PDhyK40s/Ci4qIH4jhtiPlxAA13j41LpN5v0in5kqLVOmmtJpjTisR6NWT61zRYm1svFDebr+9WxXYQuwnKS5uaWIUv04op1NNT+oRrziUroQWivLeNj+7TSYVMgpkMN5Iw6Q/c7vab9BtFrvj8ynUBNHL4/E2BLgRajArvcW60ekD1Fd2TgAVArOe+rEh65GhjnU9eydV11y/QDau6J1a9NAJ+znBSzP57DbZriGLGgOhgU5zkJkiUIZ3jwLL8J9iWk90N+BupwZJne0vXPnyxb67XV0EPEVfyUGs+Fsytu+anEKGYDWp1WbrmhpaQ6HZoSfQYiv3/q3xDcUK7sB9nencI7Et0BiEFoMnPIz/Owa2eItBWUAAAKUQZvUSeEPJlMFETw3//6nhAAAAwAAAwAAAwAAAwAAAwAAJ8pidmdUgBbqAv/6jK1gvDFPgpQUCeS6yCYHu9FhxAFRWx6GXjrxTUEY7NNpdfKyT5ADLaRFd9wFn3F9wB7mvI+v05uo5JoPebrbJ+7fc86F1d/+UQKHmTnaM6idJJQhx0Vjk0Xg7KE5UVJMF4hSO7+Wd2C+9cNoMEfZnydMbSmnh8RhNkn1n2tOr3yz70ZVldeEScVfE5RfLR/iQYwX164NLm6ti2Qag3PqRay7P3EgrO+GgEYWcFa17C+P+QLDbp52unrOrllf9rVG22YcZnHrIIYQHK8Rub1PQr7UuhKENK35pwhdR+hW1Dh1AElv4DAIYYxkjYvdgaK7WefdcByt/y6AfUMyCwrU5/zvP2ELe27IrxUbATJ0YqfVtv9aqjUAOVNHp/GmiT3dVVIWK9kOt7aWb9mAiUmz3M47m9tpmzi/55Vheqth8/SSeANUkpIWkkTTvmGhW/p07spo9blzPV9YbwDe/Psm0xE3NinyH3s3h8fdsV4xxd73hgLj8Nsevy6lIbgs690N/kSd5FsyacY4BeypOG3zOMzylkb4F7tNMdO7Xhn4drRIiZCAuU0BiZS6QaSv2C807OiNmvRrbSYRQ6RLoBzSC/s8Hzciz7eT/+U95u9e0khYLzdsyt6aFUeBhEX0gj8Tnx063GF7iTQmN+b++okx8Z8CxBNo6AAW2CCcEDtE5RLSHNQty/tN6WwSYMLLFBNkyZI8buyq2iIfYjemoO6MNso8Ny6E6/ChT4rcV4Dqpjcuq4Chch0PRnp5ZwPYTMkNR6F3zruDFS92P3Y4G3fdplq0+C91v++KxQq3DicGrw2BN4Fn4vz4AAAAsQGf82pCvwAAAwAAAwAAAwAABoc76InZ9EwABPLBzznAzO1UYn81UGhbeBSQ4KuMUiv20+F3DpsmRahONsJf03lxoJ0ZeMwfEXI/uoj040EHqpJcLLdWP98LdzdBCecshGtlpQIfPKY/NqA2IUHNppltwwl878GSlDkcCDHrmu4VBOF97n3G1bh8itnsipo0dIaEs73YieRVQt2lhtyBMxE/2rUzM7BuCWAAANLdAAAEfAAAAohBm/ZJ4Q8mUwU8N//+p4QAAAMAAAMAAAMAAAMAAAMAACe4bQ75VeOj7ACZrAXbzjtiCrs0Ptk6QOI1zU9lhIK+w0rkiY6HH2REp5tvC/U9LX+fCdJdPXDcgfDI95rfNoyk+ntsPbtSxRyyrtr09VOoWNbvquqdl1VZ31BwaUhhuDbbPhscl69mIU+/fRgwhjpmQd/+JQv/LVCgU6dXM3hCt+LTa1h5MQcKUKEYcUEVYy2oSkVEf7nDYpKFm5ZzHh9zcUxCp4tRk4WR/wAeyqScQ9dLfX3BoTslZFelevXOOSiZ9TRdb2QsaRtqBK1hzXuf0Pe2kuoUMOsJ10Yl2Vkw7+19Teumr2Fxo1MJkgGoichnvz63GGRjkH14YAyx5kIKgsSdnRdHW8FXr9nP5y+GYpqIc+RGzQ1ivgYT8g1ZtawS4uq1Be30vmp/ObMb0ykruAXByU9MY6Fv7mIutTlWpPSF683xli7OyMEh5SC8Ao3O9eatgh7q/WGL2XRJUjLK2wggHoDS24LgbJKzH6GzogTn8tHan01NVvah/RjjDQLOvgCriymaLNpWbKimKIkGzoaEI8z99apKuYR6YA3RGIs81nlGUI3r08c1E5mRJ5hABR39Re+TVFNu/FujBsvbKzZYpWE6lCv28lXBs3EQEuwkL89uvTFzN//dy9W/9ef3DfbZM5lRuEr7zNASQ1qFJ2Fq5p081y+TOfSOSIcuw58fVykBcQG8EPuejhsOQr1MPv6OhVbFcxNm8s/J1tKgh1MdxmOMlDtSAgOJu+NIGuRtlGXvpjQg6o23c/Crrg+ddFLKSdRuJcna2ZkGDmC/orpn5k89aXnD6ZRQXPz+5DS9QAAArYEAAADEAZ4VakK/AAADAAADAAADAAAGhzvoidn0TAAE+sPZ09DzYZvDdrBGa3cZwlQc0+My50S+3eRD30ARjQFNa79If+wjlFwFCQXoIUeB6s1O3/c/+ZN0JlKcqQTJb0p+lifc9kbJPKXIseM8p47UntQyKJjqop9VglRw53dd35veEEitrubUzcFn4YXRnYDU4AnmUf7iDWnPvTu8zN67pMNqvU25mzOveXVsRpKhWIcgmpKG6wiW60GzJCMAAAMAAAMAAAMBCwAAAiJBmhdJ4Q8mUwIb//6nhAAAAwAAAwAAAwAAAwAAAwAAJ7jaqkwW+ABO3PQnP8OAx828TRbU94vl/lrxGToDJXKyH/AKoArIRTqrnPr8wQfuHWzTain1iH6qZq7GkqQEwPLspSTt4Vfvuk+KYZVEEWMQjxbfvPDzDLBAHmVlT2dDnJoiXjs84rLeFgtjoimUEg7896J7dhro7FVuyM1ckr0bxPpU8CzFzwWQJPNvhLMz9b2jmMb4bVQx8wPK39yHGc2CR+GcXjcRp/78PcgJubMyAVuB1Ab43kDDIDVnDwMbTRrz5Pgs4RZoSRByjwc5WsesYl151KBnZu3J5xcBMoCp0hKp6BlprvPwSSVkCYRgZ90w3+9e1Dy2muekU/Kilzactr8Xtk587PAayZRUjHLr5iEe7ONzh2BZ0ZfbKGyMXQJxK9W3w68ZPYG7lp/lgLZVECGQ10rb6JUrbwxMVeeZfYjVFf/SexEaEYnP3bUWms5K0ZBKI8Bql47+jcew9NFz1Sf6MfthC2ON/RWJ39B0/isjGd4W164to94fJSupZsCYx8e1fRKFe38wAc3Mir7CSojeyTsLYo/FLg9SJSiO9BH+EbIMLwrlzvndoADOFinRaj+/TNlycVnYRtWF6u746u3+jiFyev2nrdnrntmOGAZ3rELPBKRxugz6P3a6rF0BpVw3wZFd9DDfg/AqI7WdtqVW24zQQ7fl4/PQp2ESA+EAAAHkQZo4SeEPJlMCG//+p4QAAAMAAAMAAAMAAAMAAAMAACe4yC6Zv9MAH9BQNFE//WCFrmkgKjGHFVLH4EP87f09L4N+FHHNJmMINPzkpSLfPULWdpr3FBzrd0YtUzO0zzcHqNu5NmUgj6+ZW1B3q6S2Q/0LtlPbqdqYIMbefi1cx5WwPpgFzuzKNJEKI8LcVcBED4iEPNKjQZ2YSUn0IwFID/GgzDTQxauS0Jh0YRUSH1lMa4cFKEzKQOoj5LHTE8dKCU0TFwHXlXGvluMZRtmX8Qay0aQDUur34236TIKn70guD9OtKMkrs11cMoobMmN4FYjWbCMH6EF0vyECgaGbb8AaPLXPwrbYZWSfPLIbZYMCSa5qsLKvKYeW3xz7gikPppPzmMNbaPYf3Q9Uxtxt6GGXrd/vV1ctsc5bH6qcGDyyHXnkcS0GscBSX7SD01E+pH6V1pfaBjje3/O0Tf8Rg8FzgUVcxkyNcoieY7dCFkJSfZjrbkMA2TBvVytwKzWIC/horY+6IzHgbf/JS5eIwEvd96OngXjBIRsRkd2ZT0p1/d4rzJBL63helBETPVJDRgHrmyeA0iBvQCkn45N9ZaAPNid9xNsufHNDXZgaDzf+vU9dsED82TzrbePtGQongAAuIQAAAftBmllJ4Q8mUwIb//6nhAAAAwAAAwAAAwAAAwAAAwAAJ/8fMHXB9UmAE7RlbNouMEY6REa4DHYohWHmRjiJap7zFDjMYrAJHJr//X5Y5H7Ob5SmDHdOL8mbzgf3PFroWpLp6zUGbSdqxMuFPEXgViAC+GaHUVF/+TdVRcWYfhf8X3l4XMZY1SxuSKCP46HTHsq5biMut3c1DHu8ViMrwxyq0G6yAorT+Rn/i6qEYrEjMbQ2IfDQojB9F8t9GBXti9nF9f7hY59MTJ+IrqQlZvURx7mPe5UpulJZjZjaZ0khC5ZiDXa6pRLp9uGd2SZEYpP9eXHxKBC7AkU3T9dR6/fQspUl/mmcsCcJXHNP2P1lSbjnpztOyskU/oUuWZNLInBqywxB3KhlgfYoeDV7B8PM83Ks8l3TkAqQvr2D0t7CiLdH5DIylK6ovFgU1oBoaMIrX6kgUmWih2IDkPAzIcw86pFkhzOx5hXIE5wtHZrJBOYui9awjbJkSuUgDdDonfijqbSdKWohQ8AXGbToqS+CA02Tmgj6NAHn4Wa7S9GqEV9lynBGZSMOlcJgVLUfPgKP+kgiXHvhsTXH8SnXgVzATAa//zzWewn6udpxvpa/A8yRrw+PAZSn+Ey2L4TDcf2YlZzsyh5WrCV98V6rCZ3Xx8Q+rjTOsYAAAj4AAAHrQZp6SeEPJlMCG//+p4QAAAMAAAMAAAMAAAMAAAMAACactuEaI1x4AW9D0v6WY3Qn8bUR7Zt3DTjSWdoIrKXE89SE4zMRKtf0goZO5jdeaNFPgCOeN6vymJfBwvkGWxJACXd789NkuqTsPzHim6RWvPqVyWW6D7ap9QT3Ok+STLMocR5WV/ZJlHAiO68+v2OypG9JPCutLfeGpvEwobmX5L2v+Vmk/RPw3sFDr14blbC8aP3z3r3Gj7IHDWLneXMEmhs2x9VR4U2zpmCTDugnFA6dEPfdVO8eea8SyhOT9RewKAIzIMq6CvQu1TICdmMbfzts+gOxK+mlAGDwK805cyRah7eNqI9icSgSwUKcj6lAGDnT8vmuWnI5d5pww2BFRnmOAj16CplzmwtnKBvwx9XGuZ+iJQ3q6A/6EeuiHrK2NuU+mBytO18SWxY2T8nHWESem7Z7KqjXBv81BXrVWq6De2rTx7LAMmNgNjlXzdLIAYddxpewwRyAuEpv5m2aRL4hppk2hsSUI+q3wd4KTMh94dmpJUPB97jAeadcv96FRKaEEPlYnuA4oGJS1bkOlffvZk4BKkACzH2NzqbQj3xhgyrpwyJCvXJIN/r4vLLUvN3kiMxf4uNdjoo3B8hSrdwRvx6AAAADAV8AAAGnQZqbSeEPJlMCHf/+qZYAAAMAAAMAAAMAAAMAAAMAABN/rAs1GdUEAH8bz3c7KfnUDfK4bzV06KXNoC5k7fDX8pl/nHYR4/nfoNc2G/DxY3PrntgfoP0mVF0lnjnKi5ltqaZTZMM45HyWawsL8pqWU91R4pmmQ6pFg/6eOM9wGSWkfNXTGITyKRn7dJ4QPXHkvCnLshiV8UJgFT16MyFhKs+G838POl4QmpSXhfoLypY/4Hwh8FUkqGHS+HzzHvhM/CiM1diqMPMRtzesdisW+DDapsbEy8vAQpTEbFtj8QFgEYNJ2nYrnoiMKJeVrw2KCZV6QSJy0uO6q5ko6PDqolwk2AEAH4a3q2DhBdGkJ/GEuf9oFgsMvO40tofdJ2a13Qw2Pjp5bsnew15lDSWJWFFZ7M4otjRsd0aQsjfn48cd5H4x/wNFWaQF/3KHKXDcjQk9LkeksC3hfIEV1NqaMrjOotaXfe8+3SrE3bIAGPJMBGDJYzstaJ6NS3ag7+S0a7xVoFXvaWSRVoJzMd0REHTmtnbNsAY6KY2Q4DNVyIohyR/QntS8AAACfkGavUnhDyZTBRE8O//+qZYAAAMAAAMAAAMAAAMAAAMAABN/rA0al54cAD+QrP2V7oIBNbUQz7yszpgAoHxIozgSbczfFGo1jxSJbYn9Nl9yB6kKr/q6PF/Gdd3fpLmD+frAHJOZIUdKbRhU7MealZSeEIAHwDIDV1A3MxOzEALp+JVCUqr5owiQXqC57/lpl79eaATADvmGaTpbOdqrw+s45pspnFNtjcWayzPSmNs0MBQv9g37NxXUAbSVSUzF9ykEfK1akRyMHa1TpwPmkZPEhh1eL6aH0vlXIjMzlPLKopcp62Vl+objIfqkHByLXdf84ZakLeSr0rx1gFb3F6DHSuMsk1v4r7pKU8YZvMCci2N1ZXGjvUMLAOlXAr4usR2eiHucmiul+Nr0jIicC1Ft6E96nWnc+yB4C6K+4Ww52wezRFQtFGggMjn94swtC5Xm86w6KybzGH69lqqVIptIc60yqzYVOq5NIACcOYElcbKYsNpqMclO24AmHkGbnI/PY5gYjy95UsJSZgKZqMCf7060KIE0gN6xxxF95ItDXyqxHP1tFrDt14Ttvc8PCurKrrz5FTgl+RP26QNuVcDuzxVzODaV3XfZ/h42ho7TevFujXU9TJ3FPGI/ziJKcGRNTdOK5FTJPW0O1QtSEEEDD2jqwTkB1hkFZhODOW+2UjnUfoYdljuwBKIY2y1HgeXUeA8LMM60m1yYJhFmGerWGMvV7NoJ+CprJg6/6vYaDjSFB0FADb91lXAM976fwY7+SOR8PnYghqdnSWYZsqH0Utt1tDz5DFKTImYVvQsKYRJ2OrAP+0RhZhdP03sOHid6rW6XZLyu+3P+2WTfAAAA+QGe3GpCvwAAAwAAAwAAAwAABoc76InZ9EwABNHnDSTZa9cxc5DeexB4Tz7RX9Aoz6Ah5WWxfnZzn6ZUgIMRAEhCEs0Iuqjm3TZ3RMBMF0j2whAjOxcjefACG9whpHPkQXPZgIVc3vJJ/c1YiZOSVF5IIRuT+M9hMYKoXwcmHk216uSSDGtzy+qwfBXg+Gf2qZJfYGR1ZipoTXcrWW6fBGIp4/XarK3fBzAkq8klTYw3YEa04cAn96Xu1xgbypxxPRDb0lQ9na4jAb+6yo4E9iOYcbml2vYG7CDQGSpJ8GOc2ZhcWOvBeBOqDcruN1fuMybAAAADAAAFlQAADAFBmsFJ4Q8mUwIb//6nhAAAAwAAAwAAAwAAKfxOSAQiSdcO7Qh9rwJGAIbF/voUr0fckXKgCsKscwgbf9a0LVNNndjfSZSf+luhVnjNa1oXvoj9KUaD4eNLZxx4N/xIOKFWU4KHKxoxjko0CfqysdmzmX81geRkQkLLHP94d2VopInNi9I3m5dH+G/3ExmyhQ4YKdOPHZm2vA5IW4/QOl9QKPxMAe356aO/lnGZmmM9xgozarvoSWwlmuaDrp6f7Gl/3yLei/xh6pjlFVlz7OQ1EuYc6gBgW0RUDOvaW16FH3+gEX2Qk11ClzCw2qpZUeUeuoOZBtI1P1i7y4vY/6AAB4iS7YLxr4nvfWtUN7ss55FKuCz9nmhgP6hHXM5z+tEz5ijTvTqlnn/xbwNikgC8C6lCiC27b2gmwTld1nyHPIlJKnroKAGwAhadaIpw2oW2QxArbU0otmoumOvBObgxETbmyu8FM4pyPTSMovLN3+CkSYns4xXWzLCuc6BTelhHAjZzSwkw186veVCyjSvg5u3mZ7SGWsC2GragWGdG3/Anz94MGOgydnUwL+8bR1Ge95n+S6p4y14RBKTUcOX72ZbGP9bwnJf7ToRX0b+JltsVPYFzwixSk/fwv56EMjbs/QcqO4QMdEWcSpqgIM8/68vGzu6ppJjLjCB2qWQSWs2hzv+LJEZQOvW/30XlQHWvlM9aV/ngUfFnUoBluiZb896cFE3T4HNTj1k9vnkSt2jLYgSlLs+TggoFYGkK8HUS8rN07zYGJkep2IG3il7bgwRxYqtfwjr0hVQJuPlk0NKlxbsQq34B4N2Tz0MAPpCIJ9+OdOeooAXM8hzuWQPn1LDJdYsxOS1FpZsSF8cQ3RbvJPDMjh5+EgmX4brB0shTQObE3QRJ4a6KeXQeMi7OYuYAlH7DdKvgnGJ0QFWPqjYRYib5G/8OhpJGBs6/HghUaEehZN9CN3xmyGLWhsO3f1ZznaVzcXnfYmzZ/Geb0sO/8enE2cSGRKgBEPAPPpX43FEDD6U5QiSMiLX4QNQoy1gsBt/v7xi0StETJlCAaIMUjIAy3hRjEuU0cxaUUFMyDG7zpfFE2//S0rtZ2/cBD9+4ve0ns/n4cL0mju/wOyxdm37p+BOThrMmhyfm/A7tQzZG2ligL7x2cRuUoiVU5y2nclkgaoN8gGMM0DxcOYGAMi3hken9z7UB8kcf1gGSunsRyeAJuYi0gODFhyC4WUW+HPSfHk7BQsrD1YRXphMFF7ChTmTd3TlPjHvk62LlkO7qnT7vIuMpyq706Wekw06yfwHtIyRQLduEr47oKy34Lkf1XuJjRAm7r3+HmuRIZ6mtNG/2/Xe1Hew6VY2/K/exN6ASCMKVFrqjbLmBLjkfRauTL7nONjZvrvb7hjK3VBdCt5VaiHedA/lINlaa/PkLPa2jQYNVUoul6vi46I9R4NfOSN1U0M6DRsOdzH6sUfxGG+ClIOkM/rq/Mtupth+Vun98x+0l6APi+7ReM731izmczlDYlDiA0wROJ/82mNfPat+E2RoMB1/FfjT7ycs0DCnJnuSUxxW3Bv9f5xjoKXg1dqfKpFXkpoYdo1/HdwWPpx5iGsjnjDAsAZW51GC8pZYChxwdkVddIof9QbNlzqGWBPPeiR3z/wwOdSEHSnGeGFFAyLyw3IA33L/PmZ1iuQNP3sYWBRHnANUVRbGoK89wJv3cHfo//bDRklvenSeWjPoP1DV+itOyGd6m+IbVZlrwb34HyNzt9ncA15Y2AMeHm7VBLPHEV3J1cVgBA3RjrzidVhef4k8tuz3XzBX3m6SgAUx/R2TSJcJViCFXEpdMu36JdWRssi7cB/lMCRccqkMBjogpEUdvjQlhC904qaYWQuQwg6MVNf0qEc9dktts9zsBv8IZhReZhlbWSzWpK0KmGhFr0ZvUJEQkVDwQqPY4KH+BWzKoW7NqfnE+8a7mNbhnpdFBsTl6mTNwSmUJYCtRop2IlRVCNaj2SdRWRivA6Mx/DIiQ4m0iOEC2YZqM3DRkT2TMtzJfJ9WN4ERVWReMPpJIIJr9dOsTXyn/KKg81Qo9MUiamhyYQjLh2Lh7lfnwgDYgi/0akDx5hOJ1+gnxGKaD7AFb4NhVd8eReyYcTsKpQ3/g9XQOIdg5ybzf5RbgbRy3uKdqViPDQvny/UczDZTeuqbsikqA5Rx1IFMHa4tnwTCEMu5zBQz55dUeVCYtQ4cVRYMB/Z1nGfHnvsxCAAFuiqH/csiU/BZdgFg9k6UTMcRbJvzZFdP+rS6A6tbdHFqpXYVc2TS+eXhfuACWpICB50CE1DCnT5YbFGHmkBeDHIZTgt3gIJBT/FqJggk4K2XoV+U8Idai7VeAYxZVL8Ykij3i17F9l9hr1MMLpGWTwhwhRlcf84xz0DxcOaVVHIcMkHdSWuhkgkXh/TrkbR4ZnyRpJnIOXG6C6F8NXfsnFuiL6xJnwcBF8DvD9bAKk+BAxn4Ldw5AodoSBfa7uEpPmwlMkMj+yeUsNve65V/Wt6x0K/4Jece5K9cDwE2+DDFYzZotF8JSQfUicsEHbVIy63bzCiZvlg2mTYLv6mcsqmYMsUlMgUpr9N2Leqo0p2uBmLlkZMsaKv5D/cvLosBMSzpXAGmUf4PI3W3I7VpSUuFKPSqyQik/tMZygR7fciprPrT//tM9J02KoVN5K7E00PClGVtCJPlDnSqQ7JxiWym/vDU9DWPx+gYWLriB0mt/H7bYkvu797QraOPGgoRjPbopLIcosl7KmfqZzh1/rlaUrqJNli7FiQGOWpt/um+QM4+DYI3lznsvzawpJ0NCViT1G1Rqf1zvOcoirbYysb4/sMDV7ta0tkYqAp+IfB9edk33OSwFYPPRp886uT7cgHsnT3iREgscyWEnsGQAyqhlw4XvA9cm7vjnFyPcBdnTUTiFMRERuPwVUrKNyx04kY0MDXSjGBmjpdNNreKo+jGDaDOqlg2Fzhh4wysoAuGNASOh1FkjQ/15Wz9gw5bGZCowIpBIATMEQ7feQUQLRpGPWjabRe5Y1In60kG4ySABkdiI1CibyRqMroEoCpNUWWqVIu/QCtScjNwsl4hJ5zlramKMZ9/WFI9B9LG4h34Ntx2HTympthFZ7oqSAeM+Rvnvzv4+lbZ9acIBK2foMtJeOJuX04m0VyLbimnB/6LqAEKD6EVNqwhGUIBInHzwlVq0yv5aRRC1BGyxw1dK2928RNMr1x2bJ40/f0KXDEBSlpG+F24v2SY/jvlCaQBuEoM7f46iu3t16Q8UleZY5WD18FHuvsH7wKAZzATlX3bKLIYpp1st4MDEA7SFSbRT17Jw/kY4LJ+TdvP1+s36sw/sWsgXCdZ7y6d0EbtN1+WChkJNUKNWgKuKTzzTM6Of8IcSxINjJV9CD9k9CTUATTURuonVz+OIku7mBcqlEtwW+1kJc73MU8xaY2h5sOSptRROQdNMfpgezGWypZ3R00KZl/v7EJ/xdHQrCrifC6VLMxx///HmhwYa66wlphisicSaOpcatPpzrkvt7lUIfduJ7NFFMRZx5U0h3/lwKgeFDjrkSTF9fj1Ds/TB5WWtvNBK+AsGr2dbpZ1HUpL6aw+7zoAcHB4r4Oqv4iOZWtGj/xmdfFgCTo/GL8/5y1mmmCCCsp9cN1Jx7Ga8sUNLlvFXqnpJEQ29hPfDn4y84oF4lQYFOuZ1GFS0MzuOpLSWYl7vsN3ZEzmaRf7H9ZyPSvdRar1BnQ6+Pmad5TRyHaC5vJRH9n3uvTgmBgEt6NDYEDFlnxkbb158SJwOtIEkXYOZC3jcxWQZL9Zibo9c405SAI1i/+di2ZEQho7jcu4sbx3ua6jWOVYBe62CLb/ixBfXmYRQba9gejfP09pVzJ/WmyhCJAdpFVhHRpxAYVeolUVpTI6YldxyPRnhSZsOCwNr2v7pNOzoWluWwbgLzZCYgDRajzrwyrxiFS7adFqeJbSCG7Ox04kTbVhyNg2tD55dZ1XHx1/ygDN0IXWS/Ho0h/JwS0AUcMJka4zChZ7vHKTg/Kz2KJ2Ca8RoIh/usPTpxTffUAg1R/Heo+Lu9IXl4YyAa/FbAAACTkGe/0URPDP/AAADAAADAAADAAADA4DZ475JRH1iUciDFvfUm6ykVUkcOHi0AIU9b9jIhYlXZ1FVvf273Jfkv1dwrC8DsM9d5oq3iH7pyrE/1/hB++IaxEz92bC4A12iq40JKxTMmVRIhtolfAah6uleZvAWKepvV/o+hF8j5EEp1z1qPIobyT0Tqon7OV9xNj/IuXJ1YK8eCFyv7UfPZAZElzOI6PStCpHcl/dRsT1r5WikXzR9uRi7wCD4AkssMb/rgLWwh4lzuLfonPPE+0KJhfOkYBuNgjhIzbJCJW/RqIvtkEiHZKMYpR0iTERiPYGS3Drd83IcDY7x/JAbNNwMTXFwZ9dNLQpK4gKMQfJWbF0Vb/9+Mk0j8Gc4cmLwQNbhR+bDHHz5+Gq7wXdkACQQd5powQDONIQFKUQSAtjES1t+QNH0Ay5ED3FmUn49DX4cn8NnwDw5wCgH+bJDwaYCwjp9H75WROT3rLFl8mUz4kOQDi5WE5fpmDmlEebcDrMJsBlUAfItEiKtA+HPJ6v/t5jK/x857Q8d+tnE0oiU2F0jcu/PSIr8bpJbDoYgp2ihOoEiWhSeVTy3XhCl5l0i+MhSWE4eR+FBhx0L3VidiRn3sGnXfhBg9wQpuZoRHDoKiN7D/Dbfp+egFmKz2a0kob9G5FJbXxhCitpqZhJQSRracexQAMIfWvcghraUmTEBNtztCzxe+zT1nGyCxUwFsgW31QjqKLPNyEUvuJgsRHhSpi7aR8IvW4eC8bUFOZVm+akQAAADAAADAKaAAAABXgGfHnRCvwAAAwAAAwAAAwAABpf56OAnxL1WbnofzXTvpYBeYfV75xWQfeTQAg323vNtbgdll+VUBMKWoU4WM0EHQSPt3R1kpKzuxt1fku8Zq6eNOIM5QoFy8EyVMSpQIJ0L7B2wtzGW9hJjhqcyPY31hsZXPKWBtEkwQBVbTTNRPIzzGwvl55W8TLCbwDoHonwGfl2qMInEqX14NSZk7jkQyIiQ75CiRct2uSrS0tCu1wOQK66xWOt2X6Bu1fa6yPr0KsCpwIdG9gG+jT/r3GZJU7Dz4cjF+xyB8Gd4V5ztonMaRKmxrfbWn98jJXsG9R+Om11oktB6WQ2Z2qfGMlyQqYK8yBKFp7UUq3NbAJZRMmX6bVVOY3/VjKp7uK8s6VTMGL5i6crL2DQhQpduDivJOdjZeWw5CCUeAmS+TJJ3WssIMzwkVBM7oo8brZCYLSlP4xKuAAADAAADAAh5AAABvQGfAGpCvwAAAwAAAwAAAwAABpnSImAguMrCF+YuZ9IiB5ohRRHMrPGj7SuWBykb25GnuKCHGqiXucuXeDBs8//jwAglmTdYl8iDXg9LRu8++O3vwLmYFRjZOjh1Ke/hdnFHynwVPIJSB0V8Hs9qkXFgywD21jBuFhkhsvzXrvOP2s2x43qBGLnJLpo7wAwrSWEiTl2ygHhqZZk5OcfXduyxR9Pcun2Tau2/hD6uRWOdTe6LdmIghf8JYHyINlKJwJLnBrgJ3nrqxQHecuXVDsdYfdCGUC+kwwFC4Ufwf0QPsOY/ziNyW/JoRdaRZTK8zg3uLONBGId9uDBbqWkHSBepiie5BhPURoIJOk9zItz4Zr6tDa7c85edLhoI+ajdDCLOyoYgIt+akyWy/UXLS31Y5txGzwd5i2Pxn7/jYMetniskTIGSU9BJUuOlprzOm+cv8goR+aUL5sOxBXfEnZ/s1jdGR8RF0/FFlf416/pTsh9IHLNwnb7yIndB9mNoeCNmfWisQoEMTvvOyOnNGS5RqemL4eoCrba1qweps5nu3t3P1xxf/ObdM8JJ4AelGVbRn2HFgAAAAwAABJwAAARsQZsCSahBaJlMCG///qeEAAADAAADAAADAAADAAADAAADAv4nRzT8UAIU95gDRKCR6+nHDJxz8lgen7fKvuNhjo3pXwR5ixqjsLhO/a13xZ0smuKS3+zHl+O4QIA2JHeXMO+cZepZlpoeF4TpSlFCTy3Bp95+CTjNSCK0Y2qYzYgWI/KSalrAMVWSv3Wh9j5wl2lnP3b4JtGyAW5h7U9WqMHtaRWJhWEwsCBP3WPWuh14xnnwO3NmL26BWu9+J7W92gb+hkI73EIgvZUa6sqDP+x06CJiTx+gPOv2vPiFyaS67SrA4WTLKU9MhImjLp/6HW4kAVZFEe5cAhduHOeJeOqr9SHDlTbhQxM0XWS5evOMcuZReSjLdCn4pcEI6cUJ5B+vWFPyXxDmY2d0FqR8P9mOUoLvBipv+opH4ZIAnLOn1DxrdqrEt0kqt3JsADtV87idai/Hhuo4y3HAh5krs3q2GJvz1L9d4ftaSX3M46XYVmpTdfbMmsrVA/s7wfvFD6Oj8xAonmPAwugbx81h0GDtVHQPKY50R7qZvBTfmSUEEtnt+L5ehltVn6zPclCjMUwM508czgnL8ILTn4t4+ykgqudX6j/NRsw644rTGEyidkCcRIfZ2SldBjPzu5IWqbQX0mSxjJrYf6AeijZ9BCstRvWgz5io2SjhoM9EIyaWHMAHbwFmpBXWkXuo8bMrwzKTcxqqRW9Ghe9bPVlFd2vXIB4qXOwYUUW/y0uikJXz8ZgKNkfvayE3ongWNzmjiCMT+XRhWvBlnYv4aqibUjYv3QS5SAH/vk2l3s3ybTqROSYBfgz4tyqJEGSG+635s6mJsN2eVki89vTbgzPfP4qvTYf1I4nC+aNYAsVGPAhUUUj3RmP/arGOhAEFNk+gjw4/577MZaxF+C1+UQgXYiJfj2TprqJhWAxBL2TAsNaVS3swRB012OmIMaj3Zl0V0qmmm/LwMomIIoO0WRuIs7DYhl4dcnVCAvH2Dm8QPQKSyXWXHat6Eb2iVldqfbVS3AGU5FNXlGangB44xqdPS2gh9SziijygCpYL/hMzDqiaauvMl3n51jsRxTdYlrk4tRFRendAdp0mnvaKdEjzQ76BHruI9II6rWsH161qnYK8VprQz5HzxXB3lz5MYAMbEATJefH/SG6+zRLN38dmignVUDQpdMoWtkynH83RrBwcZ8UFE6SGVLugLrlRaTdmGOoNsYl22/FMxpEk+Rlt3+JYaGI/l69GCpM5o8ubkfncscDufVf8XIJAtBslyzdaTfyVmgk1ovT9I0fzZurfcl1BSyImX250uI5rNbDQ4Lz63dDq6i0bPIOGjjpki+lmrIH6C84e62a9eoVltf17kDiAMl5TBNqWkSgAE+NTFXn9cDsNhar0ziUSSPxEB1dnDx1086G+B/ciFiabjzc7/vrOrjAn0BxMfNAiweTZgZerwzkM8KXYpGHAbq+WQlHc33IEyp79kOLtdPjcQHcNj6G/7IQqKIJtfcB04QAAAxZBmyNJ4QpSZTAhv/6nhAAAAwAAAwAAAwAAAwAAAwAAJqXzcAmvu+gzXmTIvlc0jGTssCYuYXYjdbO2zmRucQR8Crnpvsm5LhiLC9H8PtVqrTI51P/Y9HDutcMxQI0TuwRjKD/Z5Z3hfC+IexC5Tdp8raPqcQkkGm0KAt6eeq/cj00BU9wlJBdtMG/tp9vp/N4LC0d/nr/gJpFn37O0vMg+tLe1BwE6+Vg/2B43EcJfMTu9f/Gxj9/ZoMjwIkfvgwrD/JbT2NtDixWtG3TJpsf3T47GXQqEusycnwkiiSYrnA+n5uL1I4116WRYg0ObDNpq/q+SKmfok3RgDmz4p3OS1O+q5D0HHLA0HDby+iXzge0jnRMgQDE5BCjAgDEwZxPn+AMBPhj6ZCD9o0aMnZodhOAgCwKT4XvXUXEfudmrUodC68+YIzwhIEnR2hp8FLoKL/UMuDpQ54KBID8YejMA/zim+fNRAwVxBIHaTmoNFxplpVBs7in+giN9i/EWBaLCYUPFwcqM7MEY42mpetCFK5E9mdijE1cR85UZeXUnLSHc8H9kT8XEpW5qlQN5S+20mxRV1gZE3CwnWhJU2izvGLf/tverGLNEfYtTlsRVvWxNzlA/IUCYK9SeuPZErYw+1MQoYVY0GcX9SjhJC5vC+k8u66y6aTVw/RzdKyaqNFRyfvqjzGExn+ZUYVisKL1VylblKxS6RbBnyZ0YBrhKtT6UFiUBQhe1UeakHU8+v7b1BbISeQx3K4WRnOuiUrYasSlH5awKoKdOZBslPHc0WFhC6WMIho6Bcxzhh48/3/bB/iFRsxLQhSV9ulkhBX2iNWoGHh6oNoyfibgETP3rU5tsVaZNL0KWEP4OGbmRq7YNLIIURuu1tP3FCPkvz3W313O2MrrarknSUvDCo4MD9w2skspH9gKHSGjb79YAEZcwklQ3P/jq4ieg0vvcQErdrzigAgNPBpK80Eu1qWtX/oHgaYTnS/AePasYfL9yW2BgeZ8vUstYEi1RHX2+yYkiUmjpYCwZUzze7UhFz/B4D2HQFtETAAAE6UGbRUnhDomUwU0TDf/+p4QAAAMAAAMAAAMAAAMAAAMAACal83AJr7zOV0jb1JaqV4JELcRPOxRME8f6GCRJdZTowtYKrx4TDirEWlUFriPN6wDtMkGW4y+/6EY9JAIfXi5SBIbwnb8VWV8B6E9WDyWIpkYwnuHRV9kEXDuHOr7F4wovi2GE1oNFMY10zewOEqhUkqP8mDQyzrlk1XFc5tojkWA4OMcHCnSCVxtrZaBZ98Uh2WenThRY98oIs8L3Z4w/5zILapsiM6BjxOnoMPa8CpW6/Z8OFl5dB2gJb8+ljU9o/Nn09jTNpdHiYl77WMnmSyMLpqrTmMF/nt0yWvrepT9b0Uy+2CxxIuWbKDVfmeaCmUfMW/9OImXFUEEVqMa1GSnhY317FEHHzR6b4sRTJou7CnC9/b2T1u+hDcRLZkD4eNx3i4Xteyz/jUbrfMqgB2nPwVLImWFHYuc6Jr87hsYTpp1ePuyXlC2iy0kz/ByDZS+zVZoVxqoAJtfI9l+XWbxWcBP7QbsrNRa16fNExtSWoV7uFHwpUSI4AUm+b/BB9KvsHKxqgN8wwB6z/9qW36F8vdPuO+tpFgMfnkyZYM5PViRVP+yMQG7FXQcotgiQZao/IRjkBqxNPItJwMzSpllPadzvlBHHlhQHKmKBBR8y3z+VsOiqn0FxhA97yDYN7qf6t7XyJxoCvs8TVm4m93dxs+tte1ZYE0miuostngf6hb9gfkYXdKX+ghCwj6sTt8FS0orQcsVaFUBZOxffbmFffB8xOWJpM9AGYOYD9PeuddwhB5MHdAo2lW0lGJ/o6P7dIll9hWUMtTFYD76RNaw/MX1CuoqhHeSXTuqbv33DpK/fuTvzNEYaJJ6eVWe6Sy+gfWTZ3RAxx4Uz3DmhVVPT8owK6coAANAKws6FO+l/jH2QBWYrQ77qC97pgXrsWfNoQZrJbHLb+3GPSm+3rxK+KT/V1R9A+GZOyhR+u/nDchV/cVaz2IetIAX4vE1jCQxjJgquLfFjJJ4ThUfu3Umxi+lHOKi06VTVKjzbl3h3/EAdRt5NG9mWCzxx0dRyN54b75F72eKyOW+N8QxBBpqkuprYaisbG2Ia2XZdULzXvSxR24XCbSQeQ1ozdeYaN9hJZPGLaPSit8jRt8Spwy/HOnKPXpg92TkeKKqbuGLpL6ht763xUmfx1R+CR6fUNoR8gN8hdfbk4AEjvrFqXHcwWh6WAYifpaDSOrF/27rGluDeHhhh6Ih/IYg4UP3tZqxKUo1p6DdgT3y4rWrc49tyVinsVnxIv5eqS1WYynStOSjihafgXzBJ6dImSZYZOGOxqrdlURk8ZprKv1EhV1vnUXt7c2N4TQOcYGzxYp2FuauQYDl7IbBaDdupSo/4sThzi0vrHNZjJGrfOYmRnI29NnfpDssjuxVznhoDVwZkolRZQXg8GlbebC6LQatBVmpkuy0vi0WNPU7nEz/GGkhM1+w4ojtqowDpKndTC4bwJ6l7tMCsySqdbJBiZe+zLHzQAlbVnzJKLSQHblHVBnvkfn6EtbfK4O3jmI9Fl93EB6k5w77uAQ+Q6Oofm59xtzoQ82JF6IZWynDKEgHDEmSzn6PCsvPz2VMI/+ERaasCP1H2CXeEM+U0f3x4nNZfiLCFp+DT6Tz+K6Ta6X8XBHCU//DwEQAAAPsBn2RqQr8AAAMAAAMAAAMAAAaHO+iJ2fRMAATWWbvav5ac/NQBGcE5fOTCD8vsCYEAANmyr0GkJXP1Lp7T05g45zoMovfvWd0DoOG2+DMn3w0s+GEytfFQ8Yas22fNcXpJoUWpTipXhlpasj4SIRpHAssZQW6wyNgm7KFZsk8o+4DyWoFKzrzGbnJStgiOmE9a5v8Pls9BZ/iM0JAwgN1Shahxs9Q45DiwtwwZJHxw0Nh89CNamtGc1MY20j4edETU4Kf6ob4gg7BCn/ID8YUpBaD9Z7DpCBbHuevoO2cF/6+AFH3zCzvPR0BwvmahALAoUb4CoNmWAAAXcQAAAkxBm2ZJ4Q8mUwId//6plgAAAwAAAwAAAwAAFS5C0ANi8cyzdaAAF9hlyY1o3v9Ztk7Kt1vq70z9TaF8P3onq5QlQKBj1Aupou9k8Y+WIZmo3dB6lq3sXQe53dkqFMdN95rd3tjayPMp1RoF9x2FT3PuwWH3srdrUepptNklMk5s2FtDsCjvOCaUibS8+JzlU0mmikTIivBi6kVkionU4/0GHFHjXcaJyTkG+RxQKsSAmb3Um1Ed671f2hy9wKFjLVgDbo0J5/oYcSoPQ8QDx/8KMd/FfqJv9TR+ZtB4wINzrPGMNXZLO62I1XnxQjqgVUQf6yvY7qCRPWkm1xq+A2trqNwkbCtC/Bk8erlszW9AacNL145LIqqmuWdyeUECYoHJwgg4DU0ZesXJWF11IzucqpLg4yLITwLsSge942j011jwVqSdfzho95QZqWvmCM0HuBBSWTmJRyX7FNBJReT96msyecL4zB0bpv3HsrAqjCfpaQ6QA7Ica64gknxkvocQbHo/EoWjvpdH8FBNw2ojQTbkICXlgtkgmhj595fu6/R4BOQjNmIDoSYFx4LvdGVFjuQZIOt9MxfUClTIB9/6TvKHTrlOYnruY4bjNfSdVztE5tW4Fxt+flVYREUN5puI2TnIyHLiVUV18lHzW2MEffkkGdhoMnI7ye8+b/Ck5sEuIbchkbVJvqtLOdKw4XgOMiKUZ9zOhOjgs4xTYpimpgrmiYsbUZYXWj0l8Ak3VhSjJ2yAnsHUYBoqO9Q6YYveSNs3gfb3cQAACRkAAAJIQZuHSeEPJlMCHf/+qZYAAAMAAAMAAAMAABUumTgAOYYDaAAAFqyyYqax11k8OoMD4qWdnme+M5Odx4DpdP7oIEfJ52yZhRR9/ey5Jz+SkK1BhTxhLrM0m+zNfZR4b1i88aX4XCtspq+4cjUz34igd9qBEPpfwydD8EAafVGBeFzoP2mfv0I8ayM2Syyqk7JOAiGRT21TvECNWa4zjjL/BCMX9XQB1nErzM5Idw9kTEFeCbjz9kMwvKcW8XkgZFJbhS/XvsvGSCXNmVeAdv4+WVFl2HW0XoH+WR8FlQgHC4E2foG4L2kXesQDy3eeH1m7wkULWc2JO3RtX+Dle2WEECFfVPqtqgIPyzXwfamG1907cDes1liKvo2/woJscXkInTOX5UClsNpyCvqA5co4LLvwrVjLwjjj+cG48ea1Kl5ADRxF58nCt5C2rhM/P3xcvUPR4BDUigHgeD5ZImLsGuT/9g0cjL7I2IyvcfIDwH3u3kTo01wuGwypTt60xg5wM9HHD8JvQGJ/6078rCsq4uDCibBd7KlijSP4CQ5/TQmD/Ht6mcg8OrQ7+1EP9RFmaEl20PYLUjNAKVW9IH+UDyYnWAMLXYiBzcWwAvxM5t3gCY3Q3xePOzbcjijaPjQyz1HFPLUc2q0I4RaKnv/Npd4+LMVShmEfcSZPa1hlx7PSnyiPS4jjP0FuqI1mooJI94P1DTOmOBbozfbrBAILmuoLAf7wBAwqDeAznyrepiNnovjAaTjk9NQTA9Av1ok1YzvvP4AABW0AAALiQZupSeEPJlMFETw7//6plgAAAwAAAwAAAwAAAwAAAwAAEwOM9ABacxKG8sOhkDx0Fi6onKp7h8FTKp0T09pM0MPZ6ynOLiZxAiCjUmQNSxlj07lVkZ+HH/kArEcwdLnFrmfQBRlhu0HyLGT+OGrAuDmjzzzI9lVx2azsrxlj04yAdNBTjmw+2cQh63SCZ+MdePThtJOlxR4buXRGKWZsAnPMx6R5ZytZVDVr6r1+r7Gk49S7sxbFVwHQdU81N8N2OMbJEOVf4/cwasEZ5RSeV0Gh5taSkCKxq0ZcHIWZk5ARccCMLpGVusxKS2rmV5FmWF+wCz7V7Qd5sdOeo3wvJxMQWJzPTba6I7kyNkRxKivP5qAzh8NkxK6LCke4A2PhE7ZB67G4miCoKCELabztmS4ggztyX9EDMl4eYWeaQZ04ZVwBxKfN9fBDo7MW09RuHuvjvhDdBsqAANSiLa4127kMaSlv8JHANgahDWaGuoWB3DD7SrJm5RrqCw/9/NUiaBDZDjYElNcLgbRDqHzV3TGPL/P73JPSfwOVU7Y+s4lFnlc0b1fwqZ3/AnDlbdYsXv0GjxgsCFPtxMRSJQE4NFUiCo1dna2mbJRtJ8pBbrwpWKJD1NdU8JoyEs5RHY3SaJwHm0kSGkEitlNBmNTpPY7N//5W80qNUpQI2BRZ2cUPiOyyR47IcUd1nXYaflNwT7B3yQgwzHYVCcw2Fuj85f/+0LnV/04Z4YRejIVrxv8xNz2OdMR/3w+j6Rxr94Anc8A/CeazaKYo22rHCYqM7z4uIAEzNEFEA5Ze7VqIS8WETpieg0nHmK4odPxvxNYJ5dvJWRo2xIzLnsCGDU6LVzT1kdhnLQFG07vv+PyqRm4oPb8hhp9qlhp4tAJFZz5Mrc3DULvN0Xahg44YKtL3ehL1zyoX8K83ScJqK7JBmYv1NVN9lhJZW0Ij3PtNzD9s9lQDSPecf8c4W2AAAAMAABDwAAAA3AGfyGpCvwAAAwAAAwAAAwAABoc76InZ9EwAAF47yLtXvZfzaKZxLdGryIwELocUVYEbnwH8aVDtZ4B97MvdafmNqKhOy41iMQt+12YP3gBGR3JWZDOqhTxr4P9x40YsxMxG3llnbKs4KFSfnyQtngjXn4Up1fZ03JCtqbeX56Lfr2Uqi78F5HAw7UWyaFshBzQWSdUB5CfNhzxPbiZZmZ7ltMHd4jjmmD09LI7JWlvRLONQHEk+nL2rksTdZIuAHi4DclIoMhOcJ99ztHOlofM7kk5d4AAAAwAADZgAAAMGQZvMSeEPJlMCHf/+qZYAAAMAAAMAAAMAAAMAAAMAABMDjPQAWnMSuKTYSUUISQ/0N8eikbgOlycw/2mL9mK9fbF0tMg48w9quL9ZZ6TDGDOA/ks0p+jLzxPu/iDXkdYpTqRt3+lM24Hc9RHfUDS/zRKVNUK55cVtNziRWGlgkSZsPEyp2Yib7SUL0gOvNiP1GLeJ04yLq4SuwLi8pFhkBm7v6wsBvOEA/hJbHrO5v1SUqrmzL1PIx49RLMxweSUbj5zoxHja3uHEoMqwBB5sfdQ5Dw8wyP0w6ZIf3cH3o9QtJ0Ai2e5grme215VM5f0J6c2PJW56SEFBJdar+RFRn7V5GY3hXjRw03xNpoTCDoiXgR4r4MMc0F0HP31vNd2fJ2AJLto77Q2PFEaXZz62LWPd2BoMXE+NmuFBt342hOZqMPJpIP+pj2tfgHYHDigys1Nbi8qU0m3aMsviQiQUtpZxp+TwQvrUBJ0ZyQIswOLYEDLwPz5qjq8sTkzoRdhG0ydVkshTqCLaK6XRFuiaU3foqBqVDvxBYf3d432JleeVdd9HXMj2mtkfPVW3lC+iarRnJQKTMIPaVadF1SIjobXtX/vRXODZXxO39dzSE97lmJzQba36BdKyg/cdzjM6HuvOGby2GwKlWtI5bEZLReVrfVnJCtxPqi9NmrShHV+81Zys/UDQESD4RRdTTDUvJ7Dsc7JPp2FIM3+MTnP+TkzzX1B7LYV9PZX665JYe4gwFvDb+hQgv84Vv43v2n/CET3JBmc+pGq7loOUGRHHxOtCQFFmJI24Qo+3sG3VagFlTAEoSMXprfZG+aTzFc1UGG+P4LRrlaC5RHmxP4omzVG81zvetcME7uBz3LqfufDrcba8Y9Lsg+GGmS2z90cyoT4zh0UgAG9gBqCLrjhmLxKzGRJ3CJ3jNfZFD7pfpYHZc4kWmKWL9NmP72/BfQVwNTT7Fcz66oXVnOBfsR9XWi9Zla8Eyadxnbn+WbCo4ESu5RiDqlt8U9Iqwzl42mu4qR9cF9JBAAABD0Gf6kURPC//AAADAAADAAADAAAEyhqvfKmT1AACWKK1U/ENlDSPjSdrAB2U4bnJPcsYbi+8ibt6cF/5fCrU+X5nj/EPl+Saav4Tt1w7Gb/Cc2vopEHtV/vV61vVkUAw3kvNJwL3TmONLnC08LqlakZqubpOM4xM6WZEuq6WcXeRqSs2F4sh5p4Q0hIBWG90BFCTyj1IbaXhWa32+5CtdmHMMSRQvtUU57x/uWXn9bYmQxjpd1pGU5YcNEYGInSYcMz7tz8u+qZHJdUMIV8RjLlLR5pPyu2sOtdgg0beB77tyrjzFMzfDozOhE2OisBat/K+MzyOKhbW9QqcNqkTWgdzAt5mQcAAAAMAAAMADZgAAADJAZ4LakK/AAADAAADAAADAAAGmdIiYAAAOpmb0WR/oXBqCm7k0uyjh4iufiuFr94oqK0THungnjZngz0ZFE2Dzzp3cJ0zVZOaxZwiCK6st4AIa2i7pX+hXWXCOhuLICSuSWdF3xQNBZx5cARyNWuSDwi3HI9pb1iYPfcl/H0aDLzdj++J1+ftjo0NlpXlnW5kC/95YPua8gKXldSIoaay4Fl5rL/9k7lAGXnl5XoXPldxnpocdxwPIUKFdgCRvOe6AAADAAADAAK2AAACRkGaDkmoQWiZTBTw7/6plgAAAwAAAwAAAwAAAwAAAwAAEwONfAANC1sR4+1TtoeLZSXRq8p0+onxnWXQeWBhVE0sZ78/F+jytzzSZrGH0QqokeVYFB2RUdE5N6WMe2ZPJYr+x9y+IEKGLl5z+sGt4cgb0AaMrwErxi9MK03vTxgfMGuOXyApFE/a9GWi/55Ejc0QyNY4i3unkh7fGwBm/4rHWsKsBVoooS8XF3rM6IMk9Rvu1gchnkqUePhfNyW1Q8HER9ibFL5ARnAvZNswn0f9hJW6OzTK9tTTfmdpsFkLFwlKLrqEc/OQTJZ93VNyB1JXZOhjcjnR3PlpRpxJq+5FAtY3awN76Tn+zVj24SMLkIBvX0arF+x7yHMyTxtlrF4EWtVz1nQ+nuXHDccaf2rQiUp697IpV78q7bYN7/vzkVRNjiKUBdv1/8+HZ+7iHSGQi+GEWuXJ5VNLpgb/SrC5DYETBdPVbVAO9XOJBtd7PTsAK4K9Jj0P2StnF8wZ2PqBGN9oYVCrVX+rPEq6mYr7AOSo6WVMfYCvv0GUMxvVHsGQ8kA1l57rWuxZ3jjJOpKmGaGMN/0YrzZB0p2ba6PccnrB1ExvYiXylepxh8VSLFhvzuQq+OIvgSifPJIHMvYclIiYIi3w7DRKnHjy4TwRlDfkHKeAysnefaBWGPVDiWUa2xgejG9iyF7U6Wg/uXat651a4fj+5Q0LnyrXIGvo0YXCRaKZCxVw6YzpUePhVajaubFKxlTLo5xn0nzjeEQh3HkLwQAAAMcBni1qQr8AAAMAAAMAAAMAAAaawv4t1KtgAAExdlQrJm+0QPCjWq108m8Ai611eMsP5sBTdTleTy62CqWY+SToRqMEr8NYHp1gPLttzHMdh59JZzsM0OUgHnfNhWA+d0RtJ+5nkPJf142KCbOUazzIJTIhJsSzg+dTerPMyJx6ADbuCRKaeVwSeqkO/hzneN0/5FDrsKxPqsjTj7n8/9TodNXaz/VpkCGFp8TtMPvgYzVKA9v4vMo99ZK5onPgAAADAAADAAwJAAACh0GaMUnhClJlMCH//qmWAAADAAADAAADAAAEh+YmMlAAAGvKmqAFh+RK7uhx1cTPM0U84+B0ib3EvJrNUzYyHpFfOoqtVOenk6gqEp3tp9D6KBs2xdv93QJRShA/bdP7O7zMxOW0VyPqPlEDYncET4BgJQDJrd2KCPfRF9hxB7V97aN/8D1LBW2jEK0+QmCaRAXuw1MrJtz35ZZQTqIbv8PHweepIRJaWXwKsXOh5v8uHKTbPJr34WVqrmqIpk7RnqcqKHkpuKSJ9Pfw17TuMGYUQTd2XJM2ARBedSslMIAnsn71F8tDJF8SjZrWGCZrgGjKOVeQBr3t34t/c4ZCWx36yDJuhKQsH6y+5SUPOvlVr59zqs5Dne6V3LRyUi35z1i30+AA7ZwDbciQe6etH9VCM9uCBm620CD2RwWdMoAXDQuyiB9OdQ3AKogO+4a3Jjy2bItLTHyIF4FRYrv8wfW0Ft805NODLYBUyH5JZtY4u8GLApfM7FrAGmJbUeui9ccJ6+Z9OqcscVOuUxZzUYNLbAaNu5tkForr9Q1dD2QGHyZxp+Z1vzgIbOBs2elJyW8i3AjP7epepF1PjaVc4n9dSisz79cpi7nLoHJzepSCiLuxxbMYj9j+EixzWo9RE5XbWTeL1MBt0v1n4uIEjXaoKX4UlNKjs82GPz11P3ykeuQZC0cKCQ2x7LhOpQoUxtpncr0AxMoaJsx4IFnYmHjcQD4CZ4ny5J53ue/sbxfLRTtH/sI1lsHQc3w+FTxIfAMMAyWWdDprv+UlA4b1c/McOQ5kBV5WJlriwi077859yjww8l6LpUzYWZcqTENbgsS1doqdpsddQ5J3QNstJnfcugAAAwFTAAAA70GeT0U0TC//AAADAAADAAADAAAFZYpP7ziX0efoAA4lSeB1vel+hXfAAOsjjXct65xIdprGud3PHe6qVyNdRJiK5gPnYSng6YXgpWCy1lwQ5FOBHhc2z7a3xuq2H9zIcGOhWJ8kafCV03GeTSG2mIgMWjnjw4cYm3D85B0R4g0yzWzjy/SEU5sT/xw2w9qYcziNT/DqzfNNxlZFa1sPId5rgw0hPbkbrLs/PlMCgKxdcWVq3Gcj3UogJp6049341as7OsbuwkHPEAZGgVAoeICIGCUf7STBE5+0bsMMZtjMSqoFhIYQAAADAAADAI+AAAAArwGecGpCvwAAAwAAAwAAAwAABpnSImAAADtKChMNJCoANRz/D3rzvRfHDMDfou1Jtazj++qR7V2S65J/uqf4P2Jwd7JtNXjORGe+xIGBpb9PC052p6MVAyTtGTgxyZBtbYx9dSPi0xe2uNrqJaEtwcdKkacPU2CXOBDQHK+y/NZUBwJNI20W52mL9g2RJGZKaeCS+gDIRKlm45pSWQwWWOgke35tc8AAAAMAAAMAGpAAAAJNQZp1SahBaJlMCHf//qmWAAADAAADAAADAAADAAADAAATA/algBb1zsu+JiAVm3UOxwzj133eLMG+nnyOq+z/ennYLwX/o6jcgfHBXB9r6+hyCxFpatOshLDSM0nktoqqYboA1JHu9Zi2mtvNXh1rqaGS07G716Z8IBGP4WNG8MwY+BwFQouun7DTExMly3S0CzXGEK8wBsXjnELZZKleWwgDOKQwsClffaxni5t0Vg/ka9/oYjjfM+LcXbhs67H4ad5XRSdKXAkRqRHNee49y1kr4KNs+kSapLSKUV/+wulj6uiZHQAp4up2d/B1qRtC0i5NNtAgZrEU40d/tbj+FiM/mLO9s+Q+epNKWyOLfEF7SZNG+KDruzGF5iwSe+IlspTMrSdl0iCMV0Tvl0OAlvRN3KDs4R9pnrr9rIfKde/ApI+kzDgB4BlZJasO+UwBkXXhEAoEPKWbGF/OOl8x+RjLhUsJMQMYVpMoC5wbb5bY9lpSnRVlr/W9s3eCQdbpirMKEG6o9VURyzqV4iMnD1dAl/PlObgHy1aTgbBfpjT25IsTKDnqjqVINcATHmCd3HxpAw+6GiAOo0ggd0VjrXHeEc1E0eS8Bo9toY7ih32v15E7S7E1AyPxrUTORdAUeOttb81WQpAZgooyOfuWNRUMxeZqf9VfOJHxtGM9TqvcoPzq2VjckCl+2sWbWS7WIpVhD5NgTOpDPMfzfGWdAM39aRUDEWeqHpSMSbqYaqPHIb96Hq2NHl8Ac5XR5duosYDzIAAAAwAAAwAWUQAAATBBnpNFESwz/wAAAwAAAwAAAwAAAwOKwST649nwAAJdTqgAXt5Ud3/WDCsORNTIklXoq36NRL8UodFUEWjoKJWxCpDd5ZQl/Ff8OGHkr0yb7jDpyP6KrtzzH8sbCLWLxbZZagU46y55y9Ue5dI3xQ6P1wotspCKhCgJfmR2HNUBSAz+hCFq18kvvceoVLiDZvlbge0UMaUBAf9Z0hdWc/s56MYjzY4YjjeqfD9RNNjNNi4i0jRNZ7kvBbzFA4nM95IW/0QMtkUovsZQsW5gAuX/Ncex+At6abfCZLUnEm9hW9zT6H5eoI03XwF5jYZYQ5Ux39J3z0OfPDai177JIdce2wXl10n5lkarMrNmzisKlYt396y8FaRO7ex5y5027vojq/aJ3JM0AAADAAADAAP8AAAAswGesnRCvwAAAwAAAwAAAwAABpf56OAAAEdD3WTNFh1fn47DXudiP9bougwpE2E+VlnYbhZQgVJHG0Bz+cV40SagR2oB/xNUP93GN9v3rK8A+2nWfu00Rgm4bDSCNIKaTSR6CzGOk42HNLqjFgQfUCf6eaYtcRAyuEO/5IFGG+xLay8Z+vTyt4bAzsXpwAi92GcjqOdMlOl02XTzogJae5rSJwvlBzspMMRAAAADAAADABHwAAAAnQGetGpCvwAAAwAAAwAAAwAABpnSImAAAvwsLgAHUytZ4fwGWJo/3gI0cLlZwAjGylp0OOdxJNs2R6zji4MU45AcNMwatHghZbBbvzuCxm4YI2xpJlKOjHMIF2l1IvLztW0dMWhcvLnsTCmxoRiBDLMjjUmCdwT5ji4qyhZTymNduqHqFu+25pm61AQiiX4iKne3l8AAAAMAAAMACkkAAAGsQZq5SahBbJlMCHf//qmWAAADAAADAAADAAADAAADAAAS/61u9GlJ+AEtXQC8RR8deBDAgIobFuZ+3CV5CWzbh2rKlQ2kAEdLZpk36eCyaIUOXGm4hhz6vvAdPuniTKXmTQmLIDWZKPyzNmVhKNyjrGTz/O4HNzEp8DO9EnYrlUOr1pCK3yM5YonRdPV+Ikn17v3lIcWhEOV7uV6YZsWGZld4OtSrb5tAnG2XEymVmac8fVR8NrRFMyblEg1ldmFnMjwEWeuo5Gv8RdszKx0FoMw3Ug64yln5dR3jbLV5eCYg2Fo0r2huQ9RJ1QYztSwneF25Z15W1rrWZ9EcQa2OmkPoi6DRlhfpehgJXUKQd+ftFtJWLJ6Cc/WET1x1e3ixSYEAzaYKZw9Su1QUeOHvA3p+Eu+Jg82q62EyCoNX6v3KVCcBlcum/aUGdN3YMpolstRDfsgGj1uMiJBHzE2HvzYS2Ik9WZYDD8SvTKtEvfXtn25xnInehdl9hjKdX20eyO3YZpcUHqXK60OOeEbLUBHz5/8650kvH5Rii5Z+PpmKcpSV4AAAAwAAD0gAAAFAQZ7XRRUsM/8AAAMAAAMAAAMAAAMDisEk+uPZ8AACUtv4uqABeppWsEy/zXG42s6Haw/8TiEMID24FhfzJB1PqROaO3v1fJ5CwiweifvyrKsbxl3B4vUmG1pp+JZl+CzTQs4JujzBYeN+NSR5VfaL4vTNGkQ4sbFExycD5p8JdS38Mzqyl92ZT/fg/waW1raUxG6faby1OnCNjifbcvUj9hHq7o7BIlH17lwSYpEHGI6sqJN8waBf0VvNp7aeduQyZXkgU3j8RX93T1jQtZ/WWNtK2AALm9X2tjAQas1tgoEZR69fVaf02bAHqNLxFAdd9mWs5I9BlMOsOefyNWHU0INSn87b6oGf1Bdtb+OcT0riNvXRIFgtjGJ5qz+27jUqODP4//+H+BL8am81OWkCLyXDxIvahtAAAAMAAAMAAR8AAADbAZ72dEK/AAADAAADAAADAAAGl/no4AAARSGUgf88XAAOOe0ytbDsbNKEoQadWcbFATNHdbX+6xN9p61Uknm4zvSMFBhbdLuV7BvfW9fCNBQGB76C79JfHSyFl2bDfIK9zfk+qNyye7yd+9wOlJvWe4aHjSH/s/k+XNRF2jtI9Y1xEO/RZYEgfm+SPjW1DyYGNbdem3SePJY8Jpv5Oub8o0YdSsrBkJw9E4Wz9An99phN411unvMpj9ZYyAVMDQiVZIf9U85W9URp977DtSqYKmRiAAADAAADAALvAAAA4wGe+GpCvwAAAwAAAwAAAwAABpnSImAAAv8n0AB2OSs1MOaqxDzL/6cvLwAXfWYN63ezaoxzueFavbtJStbcxB6f4KuHrDfF/AZhEtFNIBaRgeur5SQBAs7nrtRVGU4L16YZXLu99dcZSRqQou4HrpgGxrPxOZfP+7U/eBvCKtPIw+EWkrDiSnBWWs3X8rfXjECk5KLqArTMMkiJTJRKeBDJx6EEEKRRTRQmjioREQ3LftmmsfCA406IHUrd8NMU5keb53DnEmRlzUtZlXpSx4+oA+mALMzjKjpAAAADAAADAHzAAAAB3UGa+0moQWyZTBRMO//+qZYAAAMAAAMAAAMAAAMAAAMAABMWLRxuOAFsheYKiOPeygPMPkMWdrWb3jA/6ks8NVSFM46A1vZ0A4SsIbna22Rvz8yzLpvrWJXf8USYW7YcGM5rGzNb0hddyj/Ac7GZAWl/wNI3WL1c/J/VUfPfXypmnwxcRZTED57IUc8V4ahW4D9BrUlYcJLhb/g4KlrLO70L5zwxr9AAPCYqBRw1nVjLcpXel1Fq4kCpOA8fgmwSiXufKrSW4ovaW3WN3wvThciLvRIgXSxqSYzh7SIU+D80eEmNDi/TMpSenV1+HhNbhuqNT1RAq4zWgbAdIWWlEDZu9b+9auMXb6k0BMAnW4IvDW2Scxgzux6CWx5KLiSdYa6K0i0D05uvqG+CINCU5wLOQ7lwdAAzPt8wNBtKz6WTdiiBd10RlTFZkkmfjg6lR/OymVhNDCi26xd+pkIJ8pqE5yHe5as5Fbxy7RB99bKUvOWeKegcAGIL5JPveUriGu2eMDMMA82A2yVOwuRYDU0qyQ5t+rfGAZ2K26SG+BEwhWfJqoB69aDyytuMMqW0f5sJ5MzJ6zD42E/7OA8rZjDbUAl2nBiaFExqq5hdzNZQRS+IDwAAAwAAAwDugQAAAN4BnxpqQr8AAAMAAAMAAAMAAAaawv4t1KtgAAEsXGf+StVAAvWtsZ8eC7clySiaHFO9mapCDAWN5+lsJvIZPNYKSruRWsfnpYlxW3c+y22FqYvmDX4JR6BbjBvdPK+9GfdRqOIDVQZjaQyZS5o34MwkM5ujhpYsZB1tfaBQmx/b4lEkrqDsZHRCDJul5hcHMm0KofbmYpPqe8sCcH9tbMAEie4cn+9tg//y6fJUPQ4hnkQV8NOuKHsPdy0yIDFdzmofy/vJ5DzcvCZB2UQLbK/DkSFxMFAAAAMAAAMACggAAAIfQZsdSeEKUmUwUsO//qmWAAADAAADAAADAAADAAADAAATA7YEAJZQZB/f6BJ3rCLIrdgY7bID+H7zeWrChOU6f8U+offwCEozShsdqrNfqxcWj3jjj4SukHIBumruEToEqBXm6e6EvJKZHnRthY//0b9SrokXWzQ6Ukv8pSVOuj6DW0eUuNJ1MmZFiWO9YMHH22t+jVQHFQPLMTnkE6dCtkzfkjMVphz4elUJRPxchxr2SnR1liYbDHQyihxGpwrD/4GD1O0yEGyavPjuYB+ZQeZuaBezDTWQkETLy8KBkA386T1FL8kdZFYdYKSAJFLQu2XpvvlYl4HCTXMr5jxv70ezMT3fwTAalfQRBKS+gs41FAECBpplj8v4ICuqxaC+fJkuGBRo839KbwFKpEeazBhGf1zD90bTORh27P5MWN9xyTNIjXZrdTTfpk93Bv/YahmCIMjim8Z7wYp8yiSwJkQR1ufqU+QHbQpQ1/rxS0hi5gxmLFr70AUAQIOEPXXKFkN0tOmLj7Qao28DXHfC62Y5o1u09Nhv62RDASErBYotWWJHeLbDIS1mPxXfzlWmEcwn8U7FV7Nx8gNO39Is9hSM1Hp6h++QNM+6Ej4/9X3I5EpSVaeXEen0l6EHcHHlEf+QSQSwvFXdb6ljIYPsogknvTT+uT/AXwXF4SCjFQbqgifhSB1S6Ipm5BiLSB5Z2mfjvE/dwk2wVl9hMvqnAAAAqgGfPGpCvwAAAwAAAwAAAwAABoc76InZ9EwAAFzl2PnqWd7DLn6htCcAC2/LGPKu1OOQZRKipsSs8sKnkQQ3qPdUAIwAxpzVWjwhiL7nQY4CStt6yP11i050sk1IPxYwkOtWxYMXMvQWY5Pcbc2HqyfQL7+18euUEgTSMhqGy6Ym4PYbxBbrTF3ois38hw8XKO7OjECuALdNRiL+h5UPsGiAAAAPMrAAAH+BAAACRkGbP0nhDomUwUTDv/6plgAAAwAAAwAAAwAAAwAAAwAAEv+t/rshjABdKESuW1RLp+Da+9WJcevZHHpwdRpu03EEJkIX+0VFYZ5kC/SnvfbrVBZom6cPgUv/DQJ0P5Y62hHux97XGrtOmWvSzz90wpYJNrZMxgoGgoVeLySgcrkMjaWsD0H78Rzs8MNNvzfWNGCSu34kF/lfTVa4vsp4ChzOKHAGU0wE7J/1OxHMFrfIQ6EL68+F36cUOjOT2bfZTeFfLdVmsN7HnwRRE1WIvhgmlf+RzLbiC6ZcwwhwKoH6lL8k9lM0P6lxV5D3eaxNRePskReusT6UnFDcpAdxCby96BQRtYIIfz8NlMR+wg+fKsX0csPFHoVxdhbiwvBgFsxFPiH15c8xKHgXx6Eg/aKQAr8Sf/3xBtbjpPPJkg2JnZoU3X/2gSY/qi3Y4P3GYpyE9XqxrPMJ+/s+EG4rjAZlAeQWueJ6eZ8IijjuRhCccaw9mCmRNEwGo209SNBRFLUfd8b65zFElBUdsSCtf3ONFDp52fWxl96yBN+uAGLwyhaQk63PX5QjhjMwFMFryo/hQrFt5DlV62VN+7os2+yDZ+Gk/PVl3onOnWwK5oYZ5f+s+7UfMTC9+XRJNsVmdSTOqZb+MS8hX0DBvRrLJDDrAsMD1s50RenLj4+t6OncP3i2SdesFVB1SSAJOgyiovKwILTFOSQreBySxLwtIxnON56H1IXvdrIw3wqxmXDGeuN9hZ8hQbmOM0FujNSsL+CAyTpNgAAAAJIBn15qQr8AAAMAAAMAAAMAAAaHO+iJ2fRMAABb6NiKyU8qTQbFsCJEFo7alt+q3ecKaTiigAnbSKxw+cJIWGySWvqoeTbHf/RbWCElJuXDyrIFiimrm11C+sPPFyoT9ZvviI1iBtrvSFbC8kPBKXDU6/dTYTPbKo1fy4kv/1lcxbkoGGOnw2EXp3eYAAADAAAMqAAAArhBm0JJ4Q8mUwId//6plgAAAwAAAwAAAwAAAwAAAwAAEv+t/skMYALpMqh88qzIorOf9h1D4pfA03yCGZqxuZG1EDLMloXosTXPJLfsgb9CKTVoV/A1yChH85ugj9CU02+Bot1yygMxifVTESlPWn6D7CwjeB8DVqJF4BC1BhuSKAxvvfiFSlDW3grDOijTYPL5j50kc9KDmRcUiLNQp7co5Vz8gBm7hrdQWjGEwZEX6eOwX2prBhJkNYVT00R3XCngvpKrIhVJDEvMqFaemBbf6U+dkT1NjsdDcW6d47N7Tv1OtuqRxqxOYtcnwwUrD/jBVs/J7fMAMFr2NmTF6vwySt8Dm31MDSKjTaHU1PEaGBO4CdDtVPWizArTH/oecfRlwmQJNh533Y+gQe6moWPmpkp12MfyJTusKplwITn9fOmEn+wgEiId6dl60PuGkNf9v9dZS9hfnouoJPOjWWlrHPCpaAfY9MtRiYV+FCIMt7XIN+HN3QlKbhdEaY6e8WaSpkrrw6f4YpMkxqehC3hyJ19XbXTuvXe4n/2xOIItXpoFCGGLDbMgBGkwf04KDI12Au+B310liTnc5KQ/QMwAlVZla8huwv8jpFQzUJocR88GZ0xnhxNwgqIQkKqOd3XBUvcejrODCEtLWyfDdwPqRibBOJlA50aV/HIKmJtTb0pxs5wRJQvsXSPLMTDtkXjPdIIb1syudoFS6/nPeHRFzAc24K8rv3uItwTSlW0dAySoedIiyfnGRZt6u9/TcYWxiIWwUo/TvJM8VIpqrONJJHqGAZonezuY0A2NI6+qfyO0um4rhQPUaqw/Z8tivOVa8pC7EjBgPx/3qZBJYftUeLBynARaxHQqXXqZjwoh78subMnEkbTjTCNhgogn/3/mIn2eobmXSu79MbtYEj6ZCvdFO46rG0EAAADHQZ9gRRE8L/8AAAMAAAMAAAMAAATKGq98qZPUAAJTqHnrijhEGrFLLKrh/rwKaetuDKCl9L/87Xod7qQ8HPIcQg0/QLgA2IbDYq5Pu7Xy8lKoysjCkhc+ENE6XxTwtJy/t4ABUMDGbcpK5AiDOd6GX2fou7J3OHC+FW8o99eoLl0ruKw1he5PrmOpvpAl5glPqcLbYSLa6fiYfLJeIh82qYYJpHcDqvmwLfz43auHCVyzXMf+Lf5rjTuAvYqp4AAAAwAAAwAUkAAAAJ8Bn4FqQr8AAAMAAAMAAAMAAAaZ0iJgAALxz2y3O0/1/CkEWBG7/67uIJ3Dip+yfMzrT7isNNASwAA6z9JlqFBBYNZoNSqM/vbGFBu936PBvppTby/mdIqPZw4De1GYG/2WBeYgdDBCRETtthxgrTDs4gAobWJ/c9SDoHXOzxb5j09BA+QmSfVtj1+wbqCF6EKaTje6UR9XoAAAAwAAD5kAAAIHQZuESahBaJlMFPDv/qmWAAADAAADAAADAAADAAADAAAS/63+wDyqAC6NQX092EV65qVzk04hQXDWJWsGHFU+QGB1174kGvSAMTdOvw45dMmRBQ9SLpObdOCLkOeWTztiUeUhe23/rzvowo10cgfwewq7TBzM2F9AxP0Ib48cU86Xg5SoNb4VOEmamogrSUzrHzLOXRt5crq7MmRKeqG81WvxtbjiRTDu7PrKut1qeocpGq6BS2jmDxk/1SWl3Wp/xWIKK3DVDtMSxmfhJQ6GAi2Ml5hZeWr90M+EgcSvJEVjaTzAWr1AojWAog0hH2ZBfrsrsG8b4GnPFuqlablM8IFhKHuTfSmFp40NZ+fxWlYrH8BAZ3NDK9eId3jerhHI8SxKnVqTPxOfxpwvSFk7VnSoL81aKgWuxhFU3GJtXNCmwVAdcN1Yo7mEwittgv6GK8VrECAQ2bbRdaVCu7sLSfEwTjJWzqqzTVmXcz4R4E0k+omNw+rEGdjcgrzgnGYAH9UW5bj5apiIdGf9e41D4b9qDprq+jOGFvERDH1PkmhJi2sc1SswLFhxQy9sMc25NTImlhD4shTxOC39mi6fmeP8Agp4yII+C0PVh0GUdD6d0nKFqmwRyM2Y7grMvGPHAVdMBUKchfMRFEs5ovYEspmc35C93cllRdLZsmeJXiAAAAMAACzgAAAAsgGfo2pCvwAAAwAAAwAAAwAABprC/i3Uq2AAASlcSvfHayDdz5SZ/LQ561TIASAG8BUPyz9bZyIn4d2aMLRJXcK9rvNxSO59UOw778jFIrvpAm7T/RZ0vrUD9blBH9MwhNUMK59AJOUYeTDg+2Vf6Nypn5RfCV1mGDoPmAW+PP/9suI8L49y610+Y1JvztAAxuEnx+j6NDj6zhRpxUsoxPuvpjc5WMhgBAAAAwAAAwAA7oEAAAI0QZumSeEKUmUwUsN//qeEAAADAAADAAADAAADAAADAAAlnj3rMyy8ANiM+c9zSVo4QNKT3P9cnd/Pfw212juyVwcpZ5YNSCUhdIhouSFldul/hKdjywgYY64QEX85Uq+pi2SubTwdp0TZrSbhtflQD9Ly25po55VqFeT2fymZCTZs0BqTIFMhs9xxRospBHX6w645Jmalw1NCj7P3RSnMVvqf996PluV6eD7Rn3okUAEVqlo0KG0utxPgZEQg3SrC+m2jXL90JNB/glOqXeVjnRPsPxHfI6L09syFlKRWSV92xhveMiHrM3XjemiA1GPBRMcEUOJjtjFEywmD/ZUXNhktxZzqe9mUgdzf8aX1/wcyY+COanHaIgeryGkoPqsJOBSJt5+W9EW0IESWIFRNJ0B/Dy9sUIsncW/m2ta4Q9qjWs+FMhprPdAKq/9Bycpnhy1D+z5iANwmHkUE8fq0ug01rmdm+XyYXVAi9PsdEf8RiXEXn6/Ct1BvvFZS32R9vmuc9CpDlrzUTBMtAW8qyY3krieTL4lftJZJKF9S9Nqc6fP/FtZPAvkLGBve/3vjScfbQoSQjRXITZxoqUrJwFbYU/IDrWfXfT8bkYvFAp446tOARFISbNp3a4IYzHVwX9zeYtL4SNyYzWx4cXPAZMuQ1QKEzfI5hPDaEsDhgXpJkJYnvh/aAGhK6S6HrIQyKuKwd4036n1P7i4I78Ei90LcUyCSuVbsNrybYILx9uMOF8FtAAAAqAGfxWpCvwAAAwAAAwAAAwAABoc76InZ9EwADzPr6CauBUoGSX596qVZX14xpoBvukHqHamcPbgEwX5PcDCh+tfQPkAolalS8yUcu0cctEOSYITJoHaFZyJaWKfbFprU6CLiearzaelAJ28dKK3bRi+iEAFjPfWFOkWgAN6fGTdsRxo+koSFdLExIIFoDYCAvyABHQYU+1oxHfjGdaWX4AAAAwAAAwBgQQAAAWlBm8dJ4Q6JlMCHf/6plgAAAwAAAwAAAwAAAwAAAwAAPV7cBK3Qm2R68exACAANVEY92zmiFs4Nv9eLOFZXHjKANnCBm4IvRiW/UBF6yKyo2o0X6Fz5MZ1cKmP8kvUlXQOlThSGa68/kVzGKzxWXZ+2/kdg3mwn4GwzBUk4Yncdejic4c0gpvjMLh8XzKSRctBkVDag+lioakoIR1K4eodlrkYm+SEje0bpdlu/TRp9AYHcb9jZ6S72bXUEH49BDRPA+aQRdPkfimnCcwLrauWniNoR+29PzyergAA1Z+7M/kKVtbeOC2xSn0bpG0pWLxr7SR9b6Ro6vqACHpzZg6WV8X6tEWBqb02AB8Tmz1Om5XCDe8SyCY1Dt1XwVo3ue6crFrIzqruBFeoHkm2OJBUMfaZuTb+9ZbVkI5YOM9/WWZm+3Nsz6xIUnAGmnTyvtzpOyyDv8zKJoE2GZ+OFI5MkcQAAAwAAAwFxAAACu0Gb6UnhDyZTBRU8O//+qZYAAAMAAAMAAAMAAAMAAAMAAD1bP+BoswxK5AcBtp8rfl6VRxY8WAD2APLNqqfJ5Gre5st/s5hJrajfCiU3k1MGNthEpzg3urBIE6Z6iw5Mese4z/WvBMo3WGX/zJjqkwsKL/5FdKzczR+iQb+xOPGvY5OI6RZ9YJzOxJkLtwsSFzz1ODYpRViJD6IO+FhChGpM20Mo560KltDgWSNYyaVxBkbFb0lUXXNA0bRcOKPKBr8JSBcWgAd5opcNLObOtWXPemqeFDKWJKap4++EDBMJzF6NbcHBVpxhORR0MIWKBXQ4oZlq38ocZt+mpqPdoBKvq3xEkDRlTL4lHGy8dMu4gJK8vApK04a81Zn+gKpSNeks0v65HLOPc3EgboXWv+eye4OmkfzRRbvF9dHHqDYyJ89IldzBKAjRzYGchkCwA83rwgzIg1uzuTWge7n7adiaOtM98K8yRdXrIhnbtCDz2me9kfRu8NVl35+oXnoRL0hPVUlQUWJVHRCoe0eIhqLXV0qlnCGrmFWh65LAg5YGUwQFADS60P6+N9vQwhshPn8Mg+MHJHRUERTOIebIXKasiLbN1mLiWOdpQ/BL5u/ES/RqLd2PeVD2g7yu3x9VHvwWH9hkMGIag6/qWo73/5WwNYJdpDIPD+FkjpW9pECN63Ko+jS+X8Pgf5dqUI8ObsZJe0FTwPAcsHODztt79EJXjVj6dlXfHJgtzOK1q5u/Jrf++nBYXvBuUeLuv5xf7VBijyOHM9t6WPNEst0hy/60OjHn10C6Go3kji8x0qn7dviiArtX5Qtuhbt9EsWe1/EYEQzWmOs4zp1oIeYBbUYrC77IzswNxvO42AICVe9PtGhQMJXRymx3XhSfWdvOAeMCx2ObpMDaIyynVAyE8auuNeYAAAMAAAMBGwAAAMcBnghqQr8AAAMAAAMAAAMAAAaHO+iJ2fRMAA8MNYdwuHZwAdt9AByn93QJ9rBrwSOeG/s896Ng6vEeRQjTSMV7S6xWapCKgE1xpX/veWqNmdMpxX3rnOXqS1/m44au0inFJ5llJtfGt6j4EocsNZto6rLjwiHL6eXcQuKCWTLjvzkx2dHo+FoHFL2/l7FIRW+rdug1iJpManqMtECEhfDD/xRpipaQESCeqx8InTqE3cIZo+WHXmwn0IhwMbfcU4AAAAMAABDwAAACrEGaC0nhDyZTBTw7//6plgAAAwAAAwAAAwAAAwAAAwAAPQZO/CKs1b6pRFnlp3foADZuG4H+btydMIpHPN6keocQ/oNHExOG1e3STwJ4pMypthitYd/MQiUCE1VCS+Mvbhewgf4UycNCNvo5TmNt2LVqtJg0nqAPSZ8fmFuyHosL6YCJ+fpLLgsErnvq5Elj+m4fGolLdVzEZ3HLUfDHlI6KYGut7vipPh+oMB5o8U5dEEpa7kcRtmDIUqJTRxres0LvRuAe27Y07yP5HeUHOUJOKf14W2Zfdz3ikZ1TSjBJ8msltZ7ixbAsng1jWZ0JVGusz0xOLefx0S2Rm+tTu4R/rqjqSB8HiU6qzJXEChRAjr4I2FGds1GdPaQ0ewhhzsBSeGgusC3WTjtCy+wd4KFVXXeKop09dKVDtDuzcC6A8eekC68ac9cKtD3ddI5mFlaGuLLRFTlSvawN73znAzkaO01UbBihKJAY7pmN0qJRRPSVD/Ctus9eQdj3Q7xFLoq778gcss6N8ytE0shfYVmS/uRHCrcHiQUIMtpOMB1yvb6cNs7dQAX/yIZp/9haHcJZfQWknutWdorOqZljxP3E8pFgeybtCmgVhDWumkhxcjzHr+KlSqojSYNZ/wstFUYr+5w6F84BvU/PlZxXZJxuLXbtoGW9/65/6czdao2eNe9qZBi01CK1DSh/SFLE8c1lLe3pf3DmxyRHfy1MTOhVriY7IJ6hxYFpPO9pX4G29ZoSi9eiAYdsYPqRYjF7m6/sqBvnl4fFlu7bfL519lqchT+y8796sZ1x2fXokSa2X+X2tNoqisc8eCLVwMLIXHdZ87VbmDwNQf2N5GuSNKdEHebuamRL5OKCERSMlFq1MAMHQiBKRKJKXc8I75Tu/YvirXAAAAMAAAMB3QAAANkBnipqQr8AAAMAAAMAAAMAAAaHO+iJ2fRMAA8walG5JhuAEzH47TMtSSeseksRWpgXzcSiETQOwXpeVSEwueJ7P83I6x57W3neQQqkpxzqW8C+nWhyLYW3feI26dq35FL+RCWxaKxiaQBXjIZcrT5CWG5dw09YVn4Ays2N0ZSgqACO9PbYazyNJHfaroWxuWIfYtsnPFbsZjmR3jlqEDY64WxHzs1Y1MmF6EuIa6Rl8PDjrs4u9WrcaLvcRkxbMr6uwl6fL5ai0z9PIckNEG4lAAADAAADAAJeAAACqEGaLUnhDyZTBTw7//6plgAAAwAAAwAAAwAAAwAAAwADFQNHWCzEAD94QmiXFoxxhNUqWBI+rSakUF+357/Syh0/X/+l2xbh13Seb7EkMZyXXkStiyYWjoIFQ2AdOcZT2+igQDyEALnzvkSOLIzgbPFBE6DakoDQTArWN7VruCIIe/2GlF7KQNsguwN1BQYjk5QgHp7b6cbxmHo/sLkT3STGeEGCrM2PkdHN/DsMFBug0dIT7ZltOkixid4U8d91fxeCQKJqGQhdCEHaRQiko2hvN/S2rX/1PXYZqn9YTGgXCrNeq/SuAN7phKLv+vPX0Ctb/xGyYFExyneu/ypGlcLC7YvP5btViHcDajUvTghaNZ77XJXSi2ma5v9BcRVrUoRIJIuz12bFrUAAqLdWRZmUkjp+JC3CiXWick4tFO0AoBb/oDglCpmtIDIhCDMuvxjaq8hEzVIgNTHIx/cpxcH6hmfWsB4hBWK6FwbYbDDUzhdqFn7qtEFvOquD7fU/K3z0oqZJxywih+dgUZCZeO+z7NmwHiThZsPB6YwSSB563PN/FUOq2qgrKzIqUFKR+/D7A7ViJbBt3xJZkwBAdNJVySiDnnjiJPBss0KpEbm8DyGY5VWFX1QCOli1ND5E6IP+wdLlpatjcMBmBessy6iqY5iM+e1QaajKaio6eGq/G/e6YEXYBpCbgyvPoJqQcymdNdYwjTSVdCRs0S8jhOdHaNaHTwPlKSn9GeZCBNBb6zJmcE+GkC4Pl6UEln8QN3bIBZ6ZPTbvKCu6IafFAT0wDs4tZAluNu5TAROo8ryXRRZtIlUdMr0q4nyRFIViRkgz2P4ccGKJ9Kz9BAK4OnXIPpUhIW15WuoE0+2fbqMw6ODnRuS5kTys6D6OIWkAAAMAAAMAAA3oAAAA7gGeTGpCvwAAAwAAAwAAAwAABoc76InZ9EwAxEcXIHFy2H9/DCewg6VVjYyJjA3u8/fxPIuECe/e8LqWfdbwIt0mxZ22VNT0/W0S6Sv7IBuZd5JBAsMHtVyvk4spiNsgXYrZN2I2YAQXmQBC1E6EedPfcDRD/L7joU3Z+RHRbuH6YEakwSxYpKDbJARh+Scv0OCuo+RSBt4bXvkAfrHQnt6yn9BbKlBPhWpUvT4MTi7fIwBMbUt8KZEwUgas1KiBcs78pPmKM7jZ8WIbRZhh640WCuY43X8ofhCFTCJIpfisnSSHiTVzgAAAAwAAaEEAAAMBQZpPSeEPJlMFPDv//qmWAAADAAADAAADAAADAAADAAMUmrg5ohOi/sFw4AOC4TAJr98wt2vUWL9eOwCiKxyxAa5CPPLVH/If0Dd5Ni2wuGzndSb6TRTfOGex71W/RbKuJPaJCDCvto3J+n3Qn4X+7i9QFZR/GoMR/39n2OAB6gGrXS5icozk6kblqMG3lQvwU47Panp7pX39+Y9eFN4aMSadAedo5+blG808gVB3CwWz3H0V+wKGmhNL+k67a62Onh5nTDlqzAcxB4hoGkSw7v4EXkprLEbGWD1fmDtNDIa0xCuZ50j8SwO4nfAet3liJAUGv1dGso8n0qKjxF/nAf5mYOvXQaH1LUZUFeD8HlX6hooNn2jBNneDDlfy4A6jLaRpRntkI1YuCoqrHlP+qEuBmHNaVBtKrxWmPFwY2a0tPnR8dP70tg7Mf0dKlJF6GnIX34oUxXHFctfe79Qr0/riv6j0U6o9QG6ja+SQUio11dD/cx+haa53rD5jCtNx/o0uVwr+8DWzFfdffZL3aoF1e/drq0l/8VxAfC2vIf9W25D7MeO3blIamhaIghvLn6CgIJfhthZv8s6HPtsXbAFefxG7eAs/bsfJllsyd/qAC0a/JahI9OPqIKkJdIiP79B95eTeSTs6HVf/0yjkB2g0GkR6LrgftelmsM2xVXF0nNCci0mUpmIlXKXrGla6bOKtMwOyL+VV27gZ8BU/57Xe1Wslhj7zr+QE7N/4GuhKOt89aJj+AddLENR92BnQZIdBVz7MJLFxsbCy2XUBn1B7V05tT4qwwFsg/dPNkFdMu1d4ek8UelyHtOBCDCTXwCmfxL7hQGlISOAnLyk/AVAQOw6u7LN2etTbWwJvXgBPrVw/Hwez0ytLrKiOXSkD8n+6FPlSY0pY3VMR2KqYukmjRzu/if0hBzPmlUyPThF8f49m7zmAT8IqwF6ZLlj1mxwrhj3rPIaHbe2PYycV3RnMPIjZzv7wq63O1ZBMtTWjG7jjpOlfyyOSCsJdlg6GqwAAAPUBnm5qQr8AAAMAAAMAAAMAAAaHO+iJ2fRMAMOvqBFecQyh2pQIfcKL09klkC1WP9BsInylAMNuA2fnEvWRXGti2c0RPj6BggkDhV1GrosghtlpsUpEaqiyZ77QbQLNEpOO0PjJPLD0dgADsiHWrH7CQW+vjArNf0LCUQbhkfmSCty8d02HLsSZH9/cYDjFi64C2s7JS0YclL9J6LImn9yvpJko1qARLEjsXAeSvqx+9uaNa1gSsmd2VVO2eccHW7dIW98cD5oqGK+eSjlUnMcAqIyxKa5UvE/F9ojJp3jCvqsnjHHWyzZ/K7bFnVYAAAMAAAMBqQAAA7BBmnNJ4Q8mUwIb//6nhAAAAwAAAwAAAwAAAwAAAwPlr34QvGAFR7zOV73GaIGNIx1th199lxNjQJYfU2UDuy+/pcthOq/8D5rEsbLL1yELxD1CKelOXR3ux4vFZduuEkKwAVEC0IfyWUGfBdi0QdKefB0nZgHW6PZNVuoifuQib1HvWhqEK1mmepXuYsgiykBn/WNvq3/ZgLZmkZSp7pqfRSW/yv0Zdg42WYvK9MBzTn6WnzIXq8FcZW7VSQW/8NEHo63ru6yTtx/II+fzIlVmJS0bc6lOEMSojDyoYya358AmJMNsmIVxKbM0YglKHU3ex1o5Wb9D/7M/0m57Kwm+y8gU8EQFca5Z8j6dGFaIeApjV8cJN8HJOnNx9gGXJ9m34ZqLwPZbXcFpqAGZfxFc+I1b+BgCPiIaJEYo60jb2t/ffsJI57qzuEzkPl4sNfS4+M5ACOwUvEcevtBtOkegArpjhW22i/6/zOIfln5CjyIIG0c2S988DUD128YvVALAmNSjumKRtAQze9ns4croXJT8U+EcRgYyzvv4hNktDcOBHpHhxzq6SI6uCn3AYX8gS+u/ej09rD1Oo/D6Vm6t4bQO+Dyb70DJXyXm7wJ+Ce88zjN4Iafs8zTbg0gfsM3G1YA6/GKnVr1yXFbW14NUSTZk9nTee1iMHTAB3fFFQPPh8F1h2sHEF+DVu0CVlo02jMWI4KuDuHequtk080nd2v8IB2JAfvqAm6qCBeSfSP8Wq7DYWNIGyEF/WmyMGFa+Y6o/zyAUqy9g9UTBN3+v+26ONNJ/SEDyi+i1KfsHdThhlXyPyWFnjQ1+LWuCtu24jWvW65noJzInLIW466TUge0tmabDo2jxFkLmNhk9L75KwirBbKR0FAK55xq3f55eajV2cOgdM9bw57pfSafDZAbiLN4uAd2MGSgtO1PSjJ/CBeuaNlBpK+Sc65VCVyRWSG06Biq4GDUAwMHR9YmcRJGRC/RSIzM6dqqQ7l3Yg2beDktW31LOpK3Z9D2HaJmObQJhDuyC9DouT6KDZIUb3rLyg5Zku5iDtt9O/sPCTqFNS3ufwFKLxCx2Cv+wABJfAmXReSLrz26HqxQ9phJDjcMCpLzMOU39WGuJhZ1CqC0gpE8vsTIiLMTWKwWGfb5NeYQsdZbMlNbVHDJeKJSMS7q5IGITTcJZLLw3IY6W/KfBksSIupKpdd9NyL2IVP39RAiE/l8nOzr5dFNBhvvccx6WRIz0LysoAAADAAARcAAAAWBBnpFFETwz/wAAAwAAAwAAAwAAAwOA2eO+SUR8D4o9JHh8hZwRJFOAEKFqfTJHsBGIp4mq8e7kHYZvT44DAXhitEEbo8eb+7MO8Wn9BV64lrtyN9NzmQgqGTNJt9WI7mCoEYxHkD34xiQ0QvhN4Fhyu6AshpSrEEZFA8DhAd04k0AgD60fr3nvR2iHXNiV146Ri3tSDJBRbVNWjVFp+CNWyQZoQlVMeydadG7Uxbhl9VUK40XG2krDN0GMH459WEnCA0YudQvrXsf+8lhKbPgYgn3+olaF7hJ9UQ+k455//no1Gln83H3FiGNzFAi58FB/oVed+MDist36/9rNzpwZXq2V0mffiMVflzcUg6MFCAir/sAngEEHkFca+WDV6vIDW+9qPJgqo8tdCKxWtkEtrcn525ydV+mjjOH4s/Z8G6E/x/fB/iWe7rJhanZe1Qjb0VZPyCugAAADAAADAAHdAAABGQGesHRCvwAAAwAAAwAAAwAABpf56OAHaqPMJH+sde6AAgS3Ja0EWPzSxuPsj48Zsb7xCFLyFSYZh9jhWl2j1d6/xTx6wNt8B9khw/fZEv5gcAkplz4YPYZgAsWlgDGJHH+e/qpOUPmVNPq11a6nQh/4dBIoDv18vYtnrylcBM2zj09Mpa77QcXE7CPy89S2pBgUlPv2pQupvLWMqUJq70czQvAxBi6wbtL1iNABiLYf59y42/nGuTMffwnEufhylbamVwvJi5c5Ye78kIlqkr5VLHy9Hssy6y+QDsUkVFrta1W0QZzjxKpYLuyeP16pDPP0uFuyoDCC7odSuX033TCO4chodZ9CzrLFIUWt/3wOAAADAAADALOBAAAAtAGesmpCvwAAAwAAAwAAAwAABpnSImBPqJQ+dFqRUoaZu77QMmPj21zIk6j3tIvRSEDvkAF9dlurEPUT3ro98h2vyD64T6iPva00FcRCFZdbClK0/++wyRV6ZHJF2Y2trHDCsw5eCknHVaUuByxUHngC0KVGsCm/cD6uVs5PsmK1cpew884G96s6y6UwGWISegIQgm7keCFAvfhM1MdJIQOK0AG2GiC6uPmqnAAAAwAAAwANSAAAAnJBmrRJqEFomUwId//+qZYAAAMAAAMAAAMAAAMAAAMB8xpjc2NADbbybRcxFGJ3hUhkwII2WFP3hJQQZIOOQsqV5AmTNsdlPcZmIX2PmHPz1Uduq9+Z7/YI5jXdSlg67WBOlO7hn5+r9JGtnLbd6InB74KOKXIMLSMC+OJdN8DHuCGJdGlGfY4xeAseclq+Cr2WsNdHiF2snNNgnR4VCXa932FzylpNLLM6ZrbXwbjcxfJOem0T9TM+dP/QhGo5oUlVMzmadX/L+5yIoMkJ74vzxh9b/cKLQwMtUbk1hcnMQYjMcbxlw4Qr6jiDM69W8BbGHSxgoNdHQ2B+ne0V7DM5GxFfzyjvzp/Dy0BqFixUw+WHzDq3vQZG2ZICI5xFU/cnwVz5Be06fCwqj/g3z8a7Zb6Hibm8Dxi0HsgBDQd31JfbgzNc4004VI/Ab3CKA+n8V9Bmal4XrnhMY3fAi7/yqu9SzwDBWvdb+s/4JqhlWK1mEewLOK2rDRn1JdoSME/51jA7UaVcwHscTEJ4bu80welbbsNm6tgLFmWFdtWUISeYanEoo/sAmixCVYr2qzSZSxnlTbzT5Y7Pcwq4lIk2bhosIg0HzzURBpXRf50w0RR/EJo7LVTFPJVJqEjM3IpsVvGsPFxyIx33zeWOA262KjWbldqFAfgyHFJHGepmhH/R9xlUQSAbYF3c/Q+h3mDR8CjmuPuXwpWe2rBESJkOj7orNc3gg+cU8RiW/0H+SLWWUSmTng6Pl6mGcrG08dmrqkVqzhq1FhwHXmGMKVZUgZfsmVpbqZ6Xc8+cBfEi75OcUpEkPeN3b32e3wb2nrHFswAAA05BmtdJ4QpSZTAh3/6plgAAAwAAAwAAAwAAAwAAGgzn/4SvBYS4EkK7m7aMQNgH7vZaaBTGPsuTbe6tTpKabhZ6J9bxKU40udZR36n28Jh84ZDSh6V4bCrqKYfuMdtJIOOT/csOZfn4+2TeH4/gaymkyMia6yE3gsHWllPojiI0dg8UAZsRS368JjYsKpeVM6oHJa0ZPJZ73nW40FAxV2qEt/WHsmAAfXfY5LkBCbBCQFDeRGCLpaysL12DioJjgMyUnCAKRrYQL4VK2xYRT/AHNr1t7AedDKi/jE884Ne00yIvj1aVMVT2Zigj8oVq+Q2maKLMgjXcAl2+OutSzS8t+aE7wiVtCgmhP4qNZUy3iF9uK+YlInQ7EHKwy7AJiwEm0dXECuDwIKemQsM7CIy9g/H2UAlpzbNaDbaX0h7UZAHT7ateDqhZHMgXqGLbnsaQkX7SNMSg7LUdKP0KLUs3eCpeQ0OVy3C+EMnxm1yvcGRGqWxnHWBOz66ybWo9VmxPKbQWGMNSls9lcRl59ht/5cMh1NJOxqaDmr/mVfdNikMnG42f987TSCMs0XcY1ENUfmD5FsIL3pw/8zfunztnD/T/oYhlbMA0j1NdahIOXbhIJ8E9bOKwEh7O8V/EhUBIuGhR8f2HSXJU5xbUnGrniRXLOVUgmxMbWFHrgyipfFif6kmbhSbhgPu4qlMIVQWiO2mWnCIBB/jQBlSDNtdo1sVMT+/V5brZqklvmrHVv45hBl20LF1sEM4t8jO4mCNMOcv7J3CqxV7kHI+giet8gu2sTkGEoC0Ydg6eKSyFO2k9GtNio11qeUHJxPhET1/CnuJySlA+la1BXYk2IWMbBSjABtFZnfX+I6Wm91wZ219IP2pYR81pVPhKXNbhaOw73Z7UXvh4KqWSJoetK/F4qXx+1LQwqP2xYysClMA/wnOxwgQ6WO5It3L44xwlOgsmTutf38RmEnsy0ZQ6VVvvgRLnjY06k2KuUzOFCOfYE7NkxqwwG+LcPevzoDkYHxCfkTumKffWP7YIf5Je4jJSnu/zI8Oyh3IZ/E92ykcaAdsN+tkv1mbDBzXTMN2n04zl1unl9elcp5ULRCxnt7BHS9SRTV4gAAADAAADAu8AAAFLQZ71RTRML/8AAAMAAAMAAAMAAATXi4msUKWEsIk1bgGlgA5AYktL6TAQViyEaUiy1JYNP6wSwD2mZ1NhItus76NW0wMZ2wLHglL8Y86xxbg91Zl0i3njpgP/RUWt2KHFfAN00wYd0PjyMy9MvI1DHalzlzhqZCK+p3At9lg7W7/d8QPVBa4/LVdGhTQqMfxG7PZ1wPeRC4X98RihLWro4XwEQwp/yLxBWE7YCiQrhfEbSxoNvhzLPm4b5rquR2JAlvvaOnoiXqsQaW/U30Q8JLBaelhf5EQtthH4olvZSsmJxrKUKgaEErbpQyQsLDaq/d6hZ2Q8E0MqHWPq75Z8SDoQPnt21C33pRu+tfCb/2xw7tr6fgCrdGeS4R1IdPOJ2XFSgQ2FkNGtcsm0mDtt4CQY9/mGqXkdzCwaAXivUza0AAADAAADAABgQAAAANUBnxZqQr8AAAMAAAMAAAMAAAaZ0iJgT5A1ooQ+m/q7mA2hgppc0AG0PV0Im0zP0NBwBbFzy8kgE/fnh4z+kejjmDIgZyP3DyXvmsO4pKHrqI3+fqH3oWhKbkyTZw5Q2M+C22hYHu+frUpUXxMDJP9REkIzGk9yunOZfmNPPiJKFsgG+1ExR1+O8G8B8IaTWd7I7Eh7/t1OGFRowab0N/EmIEdgSa8CZG2G7/Z4cvruyHXdEQW7VHHwIXMX6ZlGCVoh3nqMc891FdeQ8MAAAAMAAAMABgUAAAHOQZsYSahBaJlMCHf//qmWAAADAAADAAADAAADAAAZbOf/jN8dQCEfDSuIzDghuXVNHUM+xfImujgwRWIy/aIamK4c4XsWIr7gzEUucfLdgC1EXUu9QiZRMWhgRKZ6fygK6zHOnAqTy/n6hggl6DYfaKiJ6o61NE+ohwQZVbNZWgjo8KQfVJVtpMoz5aQdY0ka3aKkqOZ/mvILrRFT61dn5OQ9MzgaXIQKV4cDaeYKQtjg9pxqQ3YQnjfmnhpt62QDAZ0vOvAri77NyBj7auAzAER5OviQsCqFbDSG7aj6Vrvd6CdWxoy8WCnS/72Rz7qiDr9jp+SmNtR6W6RAAI+tMg319rvOpZDO02+OiuHGK3Fjb5qGMZZgCM2uifGbMf7FTC0Bbgra4km//SOg/RgrqhSmt4aX/ZT7BePr7hcTnvM0vA7+8AWp1qWY4sE/terH28dR4IvjJ1OU9tKkg+rQMXquu2n8+XPcZPPpdea+q4erPLlOGgWOZXQAKLoNHC1u2uesb5MGQ7iCug8Tf2/emEiewrTUtwSL7EJfcG9WYmGC5xi6BK0fJGf5DXI4PhkACW7nr6n84SdYGtt67pX7CC3lrvQQAAADAAADAFtBAAADK0GbO0nhClJlMCHf/qmWAAADAAADAAADAAADAAAZRPzGwOujefVSGADjfDSspFwI/OkYor/R14i/G/lXHRLj8BKTxuqwg+Ku6ILes1oB74BMCSL/Vb/NHxqeeibVky5Rsf0KvUjLT9hXH4bcY8zD3plccSvw74BccMq9G8CuZjefTKx1/S3XDhkWrr5G1FrEK7BOMgiorGp7DE1ihLnsF5p/2tZKcvA3+vM7hijKAYSNOTe1AsRcomEGYA6rgj8Un3hDVota/i+p1px3MdYlx0gr2mWrUb181cZuXy4sMB4lK70A6yLLHgtmC73yrDpk79bZuCVd67GlgIQFTGf4V3phYdTswdYVNOdB9gqWEjKv4tHGJP/ytBUGC7bquzDwcn7k42XXEyM1wr2rN8wUBK9ejAB//wMRP/STs4/BZADovC4byuG8fe/0erNgrVvorzCMmEyq0ouBzlAo54g5Qy/npQZPQECacmf0HiaHbtmNL5RHUkJWHtJpk8WxYtcEWoecyX57rAgDUqizBStKHGwTZWi6cIVIJdE44/uKs36nFLev7NWy9jXQAENiiu2VMovG2evbjYkI+2Svvzy6aPY223c0kc4UxRL1ohqLgsaiMietjJK1Sq46h61zqlIMVzWBSJ5qRS04HNkkHVBfbu2w8Lj1Ls9cGpxhi97SYK2nOj1k4bho1HHX3oSHcJOh9AsJTYfMMmtGn+Kz3C/6oAvPhq2T+sjRUCwlwUYrp1pT0HEo2XXmQdIFDZ1xD2ugJmOjbSZZvIOhB/v9KxvENN2UJL87QIVNv7GpZmW92ybQL8dxXtbP1WV7Nrkd5XrqYOv+7LQoni8X8u1Ro0XypGSUVpJodIwcfyca1OkVpP0s4VtFLjwYo5APvbq4UD2ACJUCJY0nDBWC+JAnzLRCD2OFZSKqtnrjW6hZKquxWicLp7O1OlMi96Vri1SP/U67AtOn2vM0/J5UqjcZ7YhW0T3ypT9FovpijmxMLZjgH3Sz9Mf208z+pVuHaFYS4ySJJLYGUh+tGF6ktJ7/kklMzDwldvyQO5wR4MVwPROE16vNQAAAAwAAAwAAFlAAAAE+QZ9ZRTRML/8AAAMAAAMAAAMAAATXi4msUKWMjOtsmtsKh+hgLpZxgpupVFVgAh/Wu6tkSZ2o2DyhZnhGS4TgPQjHr8r8STLl8tWvBTePzvzcn2+8O3wFuC387Z6UYw8WtptXOQSM0Z9593LCeCx/OwU8vENjl6/6CrfoL/lUdfbNRYpDl8lw8UkVhcW3pdvXSjBNrCPRzfugpWMRjHKY+kJCmRCy8uCaisYIFp2TMVLTEDe18KcMTfhaUtDUYgZwpRgX1M4u9EWAlXE9n1Zl7yRESraq+SoIauhvXT0Jl14USl0xhJk60A5NJoC/pyIMEWTd59bO8lYuV74KSgVvVQY7wnidde03AnIs6dD7jbmrYtiAF/GbgftNM8jN24+M/rDpDuEix+RoqG08/sgOkZYEvJQAAAMAAAMAAAwJAAAA5wGfempCvwAAAwAAAwAAAwAABpnSImPgcFWCdplv4NVGpjxql3Jtqy/gnV48CxyKU7/bR5/8/ux34D38Y+fuUqjGCvgr5uAB+2v3aKfFMbi9iLmHcFSZq5ZzHEuPE1Gbq80jDo+lyXcBHen5XlawHo3ufu9Bh3chwac9GTAEcdM/qHgFN56+EbbIo8dsTJzWFmq4EyCxGBtYAQtRPof9r82bEDGAKYJg1UV4aFZ0o5q/9OgpaAjaknVaGhxnU3bKXqzvaoWTCH/4FJvKMZspuU3CmISDWvE7oHNLgCSVgAAAAwAAAwADUgAAAwFBm35JqEFomUwIb//+p4QAAAMAAAMAAAMAAAMAAnu+HQFR7zOV/Ug7TJfC8nV13msB33z5zFI866Yu307ul+fsmyvQHS8PhGDBmEgdcRdiX7TEVIjTPe5sNLY1ROlKkCvBklQ/q7h+yI8cZYRe6YggQvinw9/zWFqsqr52oX5Us8fzJbjyaTRnhvkKx2OjTnLC+HgVsgu5XK01/PF7JgHXLpZ6y2Ua0lHr2Kv5XCO+9gv2Q+m4maEh6aSjn3I8pbplHFz4Ttk76sWUJImb7BPBx/iGap613oWvV+XzLwdDoO7cwxqtoyHbUKyRilXM3I2DZ07c6BYaLjUZ6r9eQpLNTCtjCF743Ra74QCy5aGnj9DeVg4tgr8c47BICTSyAvIC4ijSkCOT1/nYsqAroC2rTe17dJujf67tV2fZPHtqRuupYsW/CWaHzAl/1nJ8/qhoD7uP9nJSOO3DGCo+HF+tFAo7ahIAGmeF+AjujJxaKdcHkb1MoSVa6jx3kQUzc0kglNAkXVtiglj5zF9ZYt9N+lqHKrxXzhXzKYZwfFMmzqBqkiB0qqh8u2zpY/pp1WvQZrV80le6AvRf0lrflOrvHCfv0rtPPxuZ/us7wOcPUN90ZOBa0P6hCAw+qGLi+zgwUAsh2JLSlr6f3GGfZC355mGOoR9jhjy+iuVJnHblj+0w5Eyn3WcXj40LtCaaNjbYn+szxd/payNeypc+CtOVdMc+PGvIaSv7N/CmLDsiTecK8sB5PRd2ARkqUpeMZpctUy3+DYCRq5LTRsG39ow6TsSqtyYW0tW1BXPqK4EbP60LguK1hYpO1zgef/5GhmuHruzFeE9ZZwJCfOsXOBBdx0Z8DbtEck2zGmD+5L0qVDOnVWxsNHiZPXuHuQ+NnIx6clUUBsOZXr01damzT8FTnquuEGE7baBqlqAQ8C26ht1c3d9JPVZp7ta4kb2WqSJjNjX+8Fx50Rz3t/9eYYl3K9t6yXux4n7lON+JzkwJ4GBT3Lo9buTPz773+w+f1VLRAAABA0GfnEURLC//AAADAAADAAADAAAE185CScFL5Ssdk5yNaC/eVQAezwumJAB7aarrWB7oCBKYaDiakwRFljMweYKAq6CCvC5GMBWmXXX9Vw4LFYib9V1yWsSU+/pCRIZBhfKKRGeoAHOAEaXFgORZkGwtEViP5OfQrTfDmOk82P/sly6/2fHozecCOso9mZ4vd/dhrzJur73Jt8MVL/yAMriIj9rz5PIZiHji82rLDLd5/S/+n1NcAzY1GzGIwkYLNJjCURBMvO4Hg9kSXuXT3D6xK67d2A9F+misM08g2TpFfNCOSHLuipJc78e/mWluffLanFAAvcWysAAAAwAAAwAAqoEAAADJAZ+9akK/AAADAAADAAADAAAGmdIikk3JIdp6rPi4IAAEF+zAWJJ3ucotcyQYEH4q8KmIwmqkEC3XBsL+I5oa4eh6+I0QNtDsn07Qx7KLaxPenvrM9MQP8W7DN30XQCNr7qtK9iNniy8aogVOhcxhMgGd91X0WC7WnaR5Hqt9B591S7aPU2OiICVVaqzJwovSqj2aJe2Cx6u2FIh2/hzaaHqZpLSU1WWsAgeI1Wc04SGNiDa/5czZyYLXvUFh3MwAAAMAAAMAABnwAAABqUGbv0moQWyZTAh3//6plgAAAwAAAwAAAwAAAwABQmoaMEQoALo1msIWuWmt5c+8Vc/cg0cNK4zW/+D+XG331aFxw1LDA7/20My/zUrXl8rg1iJAL33StoVn5vCdZ3K0SsQR/WHamb15cNcXxQt18HkH0OfwDhqH6S48NxBo1MlB0scKoGCjRJksRYW+kjb9zg6+IBH1H+ln9A9kEMvG5G/uZSlkEftvusw7hSd5mbeb6L14PhV/TII0Cp6kfmRoGoxKQR+F+3J5cRoiaTt1tVU8W9hcTnA2QxdAR5sVY1nmF79yILxSHTaVX0fd0cD9rNWfDjiGKq/S11KhlEOsBRRuLymqBPnC5/E2Ngb8frbS/tEIeKFKOsHn6BYHyv80GHlFZjKB0+zFUpKBKY818nyUkWaGMsmvQMubrDVaGNDX2+jEx/RtOsxxJHTWPZ3yIuQhwdEjgK+J8MpDjLZeUDokkdikZKUybA8KqAlg8nE6jMqb+5J6B6J8G3Xci7sq9b2Az/BcIn8WxC90N8v6qG5OL70xJEELviZHCdR4AAADAAADAAADACDgAAACQEGbwUnhClJlMFFSw3/+p4QAAAMAAAMAAAMAAAMAAnsLqmh/+QkAKgvGxLiuwrc+MmfSNDje/BQpt1U4Csi8yBVD4t64SylCbanazPhAqzdKvCMugWxqblIijMPDT31P5wMZIib0NS/FLBdUYglLunYJIAWabnprd7797LaxhSVjDXFMOQUGAyffe5laHUV03koP/hn/BdDha4U4Wl7YR9U6/xqthpGMDkM/feHlP2t3mlSnY00lhb9/8qosfecfdieH/qCQizCERoAze2fOIldFnKknC+y7aArZYDIiEiR/buWkL5Ou3o53jS2qaie4H81qeWxf0FokDCBSfH/oCbNGRovIT7HuSf0Amh0bvhxSi5SUeyX3C/GkFuI/T5UCOXwDV1oTbSink64N9WkkzIaiRa4Ajr9t4f94HmdEcZqoxv3oJQ4pvmBOtDTGUSMwoaOJIu0VXGw3GTiJjDAiJfxUFyR7j8mRPWdZoeCqlni9GMXHb7hfHeJmegNhEGtjJiT080H5T0ICQzikgaA9DyquuXnF4lGxrN07awX2tRwjipPYx+hgQP1Yt9n7cK5ZzTpknsW7Kw+hF5GgjABQE6a+XrytOtdjieSA2r/dlQto4bubEZSNmat13ZFywH+uTEGWkbfX9uhE3mRHywkTN3XID34MsmsrsbF4XfSsNRySaRRZvE5p7E/jfXYL+jhRlzumrPp/Sjoh6G93CkjmcvI0kINOTVx9JGggnSJxUAOEa9uPEAAAAwAAAwAAAwAC2wAAANQBn+BqQr8AAAMAAAMAAAMAAAaHO+iJ2fSeAB2s8gUeAB/H8MjHk5xPuJoDDgkCtTu7SfgrDlORuaqfTl/eBbxLkeSpEIfbf9GsVUgy5vkkT/yghLALcn3MrMX48BflJcL4P1stJBzVMFVXn7rKNFeMN4DLJEUvmynvaHlN4wH0dfpqwQKS/yKhKaq9BXDF+XyhJT384qT41BWe637b5VDBKrKuauAdRcPIi55c+wkIr5W9uPZdQmsHn+Ez3YPxpRm+y3v1y715IAAAAwAAAwAAAwBbQAAAAgdBm+NJ4Q6JlMFEw3/+p4QAAAMAAAMAAAMAAAMAAnuPvBKcALaO0xf7tXaOG3JBcfC7wLveIRByOAR3Vx0NQUD+EMyVNfQ10eyIEnkoy+uZlFJuNc08fKF16gE3+nGlUFn+QAsHOeH3TY5oM/xiG9vz6CU20Mfo+rtXOUyN5BS+ubgXJ4YXXHO1OB6VK84HeIVcCdHwZC9P428E+a8yROg7JABcFA49elErJeA8xIijz5b/nQ/FkN28+7ZFmctbSzAszUPAIjtkpWxMnOZK+KgRiZd4UWI9dqHFivslCvTROz1VshbD/LrIQLsK8/WjPmNvgM/KtzMDT4Ks71rkiB09Ze/iGkbelxk3xndgVgOllvfhMiq3mKwfnzPa+pAvPVFk09kFh3gzIS/ePrtE7ZEuVXD34NCLfIU2dqgR4vxzSHO+pErehHi+esGgzGZRtvA/BQbgi5qzsEOmhRFAkdS5rpAtkkuRMHaDW2j481N1al69yFZEMDYtqwPY69EIuQxfb9mZIFonT7qUH8xkuBq6kewA8XJd3xUXVpgkCfC+ovPSFTCKIJbar2lHAXMvtdU72adkRLf5jaI+7vFKJYcW3Cz0IT19Ic1CFDjZhGAnpGxfXk9tUCUIoYYsjLzlaWl8Rr48ynJllIYYH8dV/TPf77AE23i8JeozbwAAAwAAAwAAAwAAnYEAAAC+AZ4CakK/AAADAAADAAADAAAGhzvoidn0nPJH0PFGqgUmAB7gCUtkol8uEW7Twf1tRDRgB7PUxNWMYlmPme4dY2WBEoee/zU8zu00TR4JoOrG9ohSIUyoBDQVZC1u7+d6OXG4SJIsdMdmyjE9WOuSB/XF4UEw0IjHwOnLBkJt8AKBrD6FOUfpZXxACac1Zi6tdQQHaRzUQOiHFIkWI0TOYcnNaQkV+GG76eHAKo84i7PMAAADAAADAAADAAA44AAAAYxBmgVJ4Q8mUwU8N//+p4QAAAMAAAMAAAMAAAMAApHvCtaBYlWa1ycbdDkVi/fhYAQhRHWKb8h3h63bzSwnaSRj99Mn5aAI4AX4Zno70qhgFZUjt5I1sUTlXj9fkFSUoO6uvPn1Jq5Mh0NYA1ekUlKXhUGsqXCS28xfMTLMJDu3GOagk8KL/RFuGeLzRZPVMZYeq3Fk5UnuSNQ6u8biX12+cG81xzaWJr8wU/isEkMaSlgX8jSfuyEV1PJRRgfvvw8ctRsJkpLZDwSESAjzlAUrRb8QTpenTzbhCHTxqiu0wPKrzpCLBGPwlSSMivkK3zwhTSgojAD9eQSu/1+kQq41LycKxmWu4Eh0XQNVGduPEb1H5SdwZoHCtTVoCF/8/z5PrR+UcZZ+mdgrVJbwhx5+tSwcJQ4ghz79V3eUUeOJiwPYyZoYY2h8250700wf6QaB76kmdAiGTjVM/Hw9P84ChGDW/NIZ+jJ3XnzvhU9beydLoIoXH2HRua4VcJIstl8AAAMAAAMAAAMAAf8AAAC1AZ4kakK/AAADAAADAAADAAAGhzvoidn0ndb6fJ600a3/DYAQegQDQfDMRKhPf3AIDNBEbXO3eAMG6KIcSUf94Vr9Otk23azg7NZp944bH02HYW3OdjNLNOmQujlkO1lrTzgRcWKiX6AYzlYxQEcJcBDxpQf04wVbHHTu/Bi/DByNaTo7DiYVKwj+3xxYjuXiN8DzS1VCzoGz05Mk1wFFeX7Rzsu3o27fuAAAAwAAAwAAAwAEPQAAAR9BmiZJ4Q8mUwIb//6nhAAAAwAAAwAAAwAAAwAfDQ2miFxivZle+CABDa+9KsgxrnqgAzbsK3YPn1KVNfG84ZcMaumWaImpb0ONSJQ8JLaPCeZTJTrzdRb/MUjcDxWDmSpwTxjC4VPoP+sTibJ1qW1rXLd6NXDPZHkvNpk2xkYGq5Le3n0cLgEccokjxPQOTn6ee8p3BTcvAtjY2aGmCqu0wVujuJw6t7CiRCqWpvnrZ5HrFGBej6evVZPuTffX450qJewtVccfBdosZEPh7lljGH36AkdfIg8nkyxBfzF2Z2kjek275FfuFicWF2LbAHF2jNIXdSBvOez/3OHhkx8cXcBZP1WP/T98y4S5gJGTjRvIiUvLztGdr0aAgchHMQAAAR9BmkdJ4Q8mUwIb//6nhAAAAwAAAwAAAwAAAwAfDQ9DkmQAtQLTmsxSgVfiBqQzYZmMXrtLkrcpFbPJ61CTpzi8ERIlRo2T+vqn3qdZSQA4180oJVJMaUxz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      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "show_video(video_path_2, width=1000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "wddRSIPhWuFt"
   },
   "source": [
    "Based on the example above you may now have a hunch about what $\\mathbf{d}$ should be. But let's make sure by examining a different gradient vector $\\nabla g (\\mathbf{v})$.   "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "DA662otuWuFt"
   },
   "source": [
    "Toying around with the slider above it looks as if *each* entry of the descent direction here is the negative unit length partial derivative along its respective coordinate. That is, the $j^{th}$ entry is given as\n",
    "\n",
    "\\begin{equation}\n",
    "d_j = \\frac{ \\frac{\\partial}{\\partial w_j}g(\\mathbf{v}) }{\\left| \\frac{\\partial}{\\partial w_j}g(\\mathbf{v}) \\right|} = \\text{sign}\\left(\\frac{\\partial}{\\partial w_j}g(\\mathbf{v})\\right)\n",
    "\\end{equation}\n",
    "\n",
    "and hence the entire descent direction can be written simply as \n",
    "\n",
    "\\begin{equation}\n",
    "\\mathbf{d} = -\\, \\text{sign}\\left(\\nabla g(\\mathbf{v}) \\right)\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "C1xnoEfEWuFt"
   },
   "source": [
    "This intuitied formula is in fact correct, and can be proven more rigorously as show in the below.\n",
    "\n",
    "The steepest descent step at $\\mathbf{w}^{k-1}$ in this direction looks like\n",
    "\n",
    "\\begin{equation}\n",
    "\\mathbf{w}^{k} = \\mathbf{w}^{k-1} - \\alpha\\, \\text{sign}\\left(\\nabla g(\\mathbf{w}^{k-1}) \\right)\n",
    "\\end{equation}\n",
    "\n",
    "Due to the $\\text{sign} (\\cdot)$ function these steps tend to be at 'diagonal' traveling largely in directions defined by the corners of the unit square.  \n",
    "\n",
    "These directions tend to most often be constrainted to the corners of the unit square or - in higher dimensions - the unit hypercube (the exceptions being when one partial derivative is exactly equal to zero).  Moreover, this is precisely the *component-normalized gradient descent direction* we saw above.  So indeed the component-normalized step can be equally thought of as a fully normalized gradient descent step taken with respect to the $\\ell_{\\infty}$ vector norm."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "z85M-0LdWuFu"
   },
   "source": [
    "To formally prove that this direction is indeed the optimal solution to the constrained problem above, we can examine its mirror *maximization* problem for the *ascent* direction\n",
    "\n",
    "\\begin{equation}\n",
    "\\begin{array}{cc}\n",
    "\\underset{\\mathbf{d}}{\\text{maximize}} & \\mathbf{a}^{T}\\mathbf{d}\\\\\n",
    "\\text{subject to} & \\left\\Vert \\mathbf{d}\\right\\Vert _{\\infty}=1\\\\\n",
    "\\end{array}\n",
    "\\end{equation}\n",
    "\n",
    "written entry-wise as\n",
    "\n",
    "\\begin{equation}\n",
    "\\begin{array}{cc}\n",
    "\\underset{d_1,\\,d_2,\\,\\ldots,\\, d_n}{\\text{maximize}} & a_1d_1+a_2d_2+\\cdots+a_nd_n\\\\\n",
    "\\text{subject to} & \\text{max}\\left\\{ \\left|d_{1}\\right|,\\,\\left|d_{2}\\right|,\\,\\ldots,\\,\\left|d_{n}\\right|\\right\\} =1\\\\\n",
    "\\end{array}\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "5PhZ7GEAWuFu"
   },
   "source": [
    "Notice that the constraint set \n",
    "\n",
    "$$\\mathcal{S}=\\left\\{ \\mathbf{d}\\left|\\text{ max}\\left(\\left|d_{1}\\right|,\\,\\left|d_{2}\\right|,\\,\\ldots,\\,\\left|d_{n}\\right|\\right)=1\\right.\\right\\}$$\n",
    "\n",
    "is a subset of the set \n",
    "\n",
    "$$\\mathcal{T}=\\left\\{ \\mathbf{d}\\left|\\, -1\\leq d_{1},\\,d_{2},\\,\\ldots,\\,d_{n}\\leq1\\right.\\right\\}$$"
   ]
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   "source": [
    "Therefore the maximum objective value subject to $\\mathbf{d}\\in\\mathcal{S}$ is upperbounded by the maximum objective value subject to $\\mathbf{d}\\in\\mathcal{T}$. The latter problem can be then written as"
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   "cell_type": "markdown",
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   "source": [
    "\\begin{equation}\n",
    "\\begin{array}{cc}\n",
    "\\underset{d_1,\\,d_2,\\,\\ldots,\\, d_n}{\\text{maximize}} & a_1d_1+a_2d_2+\\cdots+a_nd_n\\\\\n",
    "\\text{subject to} & -1\\leq d_{i}\\leq1,\\;\\forall i \\\\\n",
    "\\end{array}\n",
    "\\end{equation}"
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   "source": [
    "Now note that this problem can be broken down into $n$ independent optimization problems of the form "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "IC6GTR11WuFu"
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   "source": [
    "\\begin{equation}\n",
    "\\begin{array}{cc}\n",
    "\\underset{d_i}{\\text{maximize}} & a_id_i\\\\\n",
    "\\text{subject to} & -1\\leq d_{i}\\leq1 \\\\\n",
    "\\end{array}\n",
    "\\end{equation}"
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   "source": [
    "with the easily calculable solution given as $d_i^{\\star}=\\text{sign}(a_i)$. Taken all together\n",
    "\n",
    "\\begin{equation}\n",
    "\\mathbf{d}^{\\star}=\\text{sign}(\\mathbf{a})\n",
    "\\end{equation}\n",
    "\n",
    "maximizes the objective subject to $\\mathbf{d}\\in\\mathcal{T}$. Given we have that $\\mathbf{d}^{\\star}\\in\\mathcal{S}$ as well, $\\mathbf{d}^{\\star}$ also maximizes the objective subject to $\\mathbf{d}\\in\\mathcal{S}$.  This of course means that the *descent direction* is precisely what we derived intuitively, i.e., the component-normalized gradient descent direction."
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